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Page 1
Pinnacle Day: 60th - 63rd Time Speed and Distance
Time Speed and
Distance
KEY - POINTS
1). Time
Time =
????????????????
??????????
We just need to remember this formula.
If two values are given the third can be
found easily.
Ex. A man travels from Delhi to
Chandigarh at a speed of 50 km/h
covering a distance of 300 km. Find the
time taken?
Here, we are given, Distance(D) = 300 km
and Speed(S) = 50 km/h.
= = ? ???????? ?? ( ) =
??
??
300
50
6 h????????
? If the distance is constant then
speed ratio is inversely
proportional to Time ratio.
Similarly, if time is constant
then Speed ratio is equal to
Distance ratio.
Ex 1 : For the same distance, speed in
outward journey and return journey is 50
km/h and 60 km/h. Find the ratio of the
time taken.
Soln : Here, the distance is constant. So,
time taken will be inversely proportional
to speed.
So, the required ratio
= : = : = 6 : 5
1
50
1
60
6
300
5
300
Ex 2 : In the same time, ?nd the ratio of
the distance travelled by A and B at a
speed of 6 km/h and 8 km/h respectively.
Soln : Here, the time taken is constant.
So, the distance covered will be directly
proportional to the speed.
Hence, the required ratio = 6 : 8 = 3 : 4
2). Average speed
a.) When different distance is travelled
each time then,
?????????????? ?????????? =
?????????? ????????????????
?????????? ????????
b.) When same distance is travelled each
time then
For two terms a and b :
, ?????????????? ?????????? =
2 ????
?? + ??
where a and b are speed
For three terms a, b and c :
, ?????????????? ?????????? =
3 ??????
???? + ???? + ????
where a, b and c are speed
Ex. A person travels from point A to point
B at a speed of 30 km/h and comes back
at a speed of 20 km/h. What is his
average speed?
Here, distance travelled is same,
So, average speed = =
2 × 30 × 20
30 + 20
1200
50
= 24 km/h
Total distance traveled when a man •
covers a certain distance with x km/hr
and comes back with y km/hr. He takes
‘t’ hr to complete the whole journey is :
Distance(D) = ( ) t km
????
?? + ??
Example : A man travel a certain
distance by train at the rate of 25 km/hr
and walk back at the rate of 3 km/hr. The
whole journey took 5 hr 36 min. What
distance did he travel by train ?
D = ( ) × = 15 km
25 × 3
25 + 3
28
5
Total distance travelled when a man •
covers a certain distance with x km/hr
and he comes back with a speed of y
km/hr . if he takes ‘t’ hrs more to come
back than go is :
Distance (D) = ( ) t km
????
?? - ??
Example : A man covers a certain
distance by 10 km/hr and becomes 20
min late but if he travels the same
distance with 12 km/hr then he becomes
5 min late. Find the distance ?
D = × (20 - 5) = ×
10 × 12
12 - 10
120
2
15
60
= 15 km
3). Relative Speed
(i). Same Direction -: When two things
are moving in the same direction, the
relative speed is given by the difference
between their respective speeds.
Ex. A and B are going to a same point Z
at speeds of 80 km/h and 60 km/h
respectively.
Relative speed of A with respect to B will
be = 80 – 60 = 20 km/h.
(ii) Opposite direction :- When two things
are moving in opposite directions, the
relative speed is given by the addition of
their respective speeds.
Ex. A is moving towards point Z at 60
km/h and B is going away from point Z at
80 km/h.
Relative speed of A with respect to B
= 60 + 80 = 140 km/h.
4). Circular track:-
(where x m/s, y m/s are speeds
of A and B respectively. L =
length of the track in meters.)
? Meet ?rst time each other at
any point on the track in
opposite direction = sec.
??
?? + ??
? Meet ?rst time each other at
any point on the track in same
direction = sec.
??
?? - ??
? Meet each other exactly at the
starting point in same or
opposite direction = LCM of
sec.
??
??
,
??
??
( )
(i) When three persons A, B and
C are running around a circular
track of length L meters with
speed x, y and z m/s in the
same direction, then
? Meet each other at any point on
the track = LCM of
sec.
??
( ?? - ?? )
,
??
( ?? - ?? )
( )
5). Unit Conversion:
1 km/h = 1 × m/s
1000 ??
3600 ??
=
5
18
So, to convert km/hr to m/sec just
multiply by and to convert m/sec to
5
18
km/hr multiply by .
18
5
Ex. 90 km/h = 90 m/s ×
5
18
??
??
= 25
Also, 25 m/s = 25 ×
18
5
????
h??
= 90 km/h
? When using the unit of speed in
km/h, keep in mind that the unit
of time should also be in hours.
When the unit of speed is used
in m/s, the unit of time should
also be in seconds. That is, the
units of speed and time are the
same.
6). Trains
Case 1: Train crossing a person or, pole.
In such case the length of the person or
pole is taken to be negligible. To cross
the person the train has to cover distance
equal to its length.
Ex. A train, of length 100 m, travelling at
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Page 2
Pinnacle Day: 60th - 63rd Time Speed and Distance
Time Speed and
Distance
KEY - POINTS
1). Time
Time =
????????????????
??????????
We just need to remember this formula.
If two values are given the third can be
found easily.
Ex. A man travels from Delhi to
Chandigarh at a speed of 50 km/h
covering a distance of 300 km. Find the
time taken?
Here, we are given, Distance(D) = 300 km
and Speed(S) = 50 km/h.
= = ? ???????? ?? ( ) =
??
??
300
50
6 h????????
? If the distance is constant then
speed ratio is inversely
proportional to Time ratio.
Similarly, if time is constant
then Speed ratio is equal to
Distance ratio.
Ex 1 : For the same distance, speed in
outward journey and return journey is 50
km/h and 60 km/h. Find the ratio of the
time taken.
Soln : Here, the distance is constant. So,
time taken will be inversely proportional
to speed.
So, the required ratio
= : = : = 6 : 5
1
50
1
60
6
300
5
300
Ex 2 : In the same time, ?nd the ratio of
the distance travelled by A and B at a
speed of 6 km/h and 8 km/h respectively.
Soln : Here, the time taken is constant.
So, the distance covered will be directly
proportional to the speed.
Hence, the required ratio = 6 : 8 = 3 : 4
2). Average speed
a.) When different distance is travelled
each time then,
?????????????? ?????????? =
?????????? ????????????????
?????????? ????????
b.) When same distance is travelled each
time then
For two terms a and b :
, ?????????????? ?????????? =
2 ????
?? + ??
where a and b are speed
For three terms a, b and c :
, ?????????????? ?????????? =
3 ??????
???? + ???? + ????
where a, b and c are speed
Ex. A person travels from point A to point
B at a speed of 30 km/h and comes back
at a speed of 20 km/h. What is his
average speed?
Here, distance travelled is same,
So, average speed = =
2 × 30 × 20
30 + 20
1200
50
= 24 km/h
Total distance traveled when a man •
covers a certain distance with x km/hr
and comes back with y km/hr. He takes
‘t’ hr to complete the whole journey is :
Distance(D) = ( ) t km
????
?? + ??
Example : A man travel a certain
distance by train at the rate of 25 km/hr
and walk back at the rate of 3 km/hr. The
whole journey took 5 hr 36 min. What
distance did he travel by train ?
D = ( ) × = 15 km
25 × 3
25 + 3
28
5
Total distance travelled when a man •
covers a certain distance with x km/hr
and he comes back with a speed of y
km/hr . if he takes ‘t’ hrs more to come
back than go is :
Distance (D) = ( ) t km
????
?? - ??
Example : A man covers a certain
distance by 10 km/hr and becomes 20
min late but if he travels the same
distance with 12 km/hr then he becomes
5 min late. Find the distance ?
D = × (20 - 5) = ×
10 × 12
12 - 10
120
2
15
60
= 15 km
3). Relative Speed
(i). Same Direction -: When two things
are moving in the same direction, the
relative speed is given by the difference
between their respective speeds.
Ex. A and B are going to a same point Z
at speeds of 80 km/h and 60 km/h
respectively.
Relative speed of A with respect to B will
be = 80 – 60 = 20 km/h.
(ii) Opposite direction :- When two things
are moving in opposite directions, the
relative speed is given by the addition of
their respective speeds.
Ex. A is moving towards point Z at 60
km/h and B is going away from point Z at
80 km/h.
Relative speed of A with respect to B
= 60 + 80 = 140 km/h.
4). Circular track:-
(where x m/s, y m/s are speeds
of A and B respectively. L =
length of the track in meters.)
? Meet ?rst time each other at
any point on the track in
opposite direction = sec.
??
?? + ??
? Meet ?rst time each other at
any point on the track in same
direction = sec.
??
?? - ??
? Meet each other exactly at the
starting point in same or
opposite direction = LCM of
sec.
??
??
,
??
??
( )
(i) When three persons A, B and
C are running around a circular
track of length L meters with
speed x, y and z m/s in the
same direction, then
? Meet each other at any point on
the track = LCM of
sec.
??
( ?? - ?? )
,
??
( ?? - ?? )
( )
5). Unit Conversion:
1 km/h = 1 × m/s
1000 ??
3600 ??
=
5
18
So, to convert km/hr to m/sec just
multiply by and to convert m/sec to
5
18
km/hr multiply by .
18
5
Ex. 90 km/h = 90 m/s ×
5
18
??
??
= 25
Also, 25 m/s = 25 ×
18
5
????
h??
= 90 km/h
? When using the unit of speed in
km/h, keep in mind that the unit
of time should also be in hours.
When the unit of speed is used
in m/s, the unit of time should
also be in seconds. That is, the
units of speed and time are the
same.
6). Trains
Case 1: Train crossing a person or, pole.
In such case the length of the person or
pole is taken to be negligible. To cross
the person the train has to cover distance
equal to its length.
Ex. A train, of length 100 m, travelling at
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Pinnacle Day: 60th - 63rd Time Speed and Distance
90 km/hr will take how much time to
cross a man?
Here, Speed = 90 km/hr
m/s = 90 ×
5
18
??
??
= 25
Distance = Length of train = 100 m
Time = =
????????????????
??????????
100
25
= 4 ??????????????
Case 2: Train crossing a platform.
In such a case the distance covered by
train to cross the platform will be equal
to sum of length of train and platform.
Ex. A train, of length 100 m, travelling at
90 km/hr will take how much time to
cross a platform of length 150 m?
Here,Speed = 90 km/hr
= 25 m/s = 90 ×
5
18
??
??
Distance = Length of train + Length of
platform = 100 + 150 = 250 m
Time = = = 10 sec.
????????????????
??????????
250
25
Case 3: Train crossing another train
moving in same direction. In such case
the distance covered by train to cross the
other train will be equal to sum of lengths
of the two trains. To calculate time we
need to consider relative speed of one
train with respect to the other.
= ???????????????? ??????????
???????????????? ????????????????
???????????????? ????????
Ex. A train, of length 100 m, travelling at
90 km/hr will take how much time to
cross another train, of length 50 m,
moving in same direction at speed of 36
km/hr?
Here, Relative speed of ?rst train with
respect to second train =
(90 – 36) km/h = 15 m/s = 54 ×
5
18
??
??
Distance = Length of ?rst train + Length
of second train = 100 + 50 = 150 m
Time = = = 10 seconds
????????????????
??????????
150
15
Case 4: Train crossing another train
moving in the opposite direction. In such
case the distance covered by train to
cross the other train will be equal to the
sum of lengths of the two trains. To
calculate time we need to consider
relative speed of one train with respect to
the other.
Ex. A train, of length 100 m, travelling at
90 km/hr will take how much time to
cross another train, of length 50 m,
moving in the opposite direction at a
speed of 36 km/hr?
Here, Relative speed of ?rst train with
respect to second train = (90 + 36)
????
h??
= 126 = ×
5
18
??
??
35
??
??
Distance = Length of ?rst train + Length
of second train = 100 + 50 = 150 m
Time = = = seconds
????????????????
??????????
150
35
30
7
Case 5: Train crossing a man sitting in
another train moving in the same
direction.
In such a case, the distance covered by
the train to cross the man will be equal to
the length of the train. To calculate the
time we need to consider the relative
speed of the train with respect to the
man. The length of the second train will
not be considered.
Ex. A train, of length 100 m, travelling at
90 km/hr will take how much time to
cross a man sitting in another train, of
length 50 m, moving in the same
direction at a speed of 36 km/hr?
Speed of the man = 36 km/hr
Here, the Relative speed of the ?rst train
with respect to the man = (90 – 36) km/h
= 15 m/s = 54 ×
5
18
??
??
Distance = Length of ?rst train = 100 m
Time = = = sec
????????????????
??????????
100
15
20
3
Case 6: Train crossing a man sitting in
another train moving in opposite
direction
In such a case the distance covered by
the train to cross the man will be equal to
the length of the train. To calculate time
we need to consider the relative speed of
the train with respect to the man. Length
of the second train will not be
considered.
Ex. A train, of length 100 m, travelling at
90 km/hr will take how much time to
cross a man sitting in another train, of
length 50 m, moving in the opposite
direction at speed of 54 km/hr?
Speed of the man = 54 km/hr
Here, Relative speed of ?rst train with
respect to the man = (90 + 54)
????
h??
= = m/s 144 ×
5
18
??
??
40
Distance = Length of ?rst train = 100 m
Time = = = sec.
????????????????
??????????
100
40
5
2
Case 7 : If two trains starts at same time
from point A and B towards each other
and after crossing each other they take a
and b seconds in reaching B and A
respectively, then :
?? ' ?? ??????????
?? ' ?? ??????????
=
???????? ?????????? ???? ?? ?????????? ?????????????? ??
???????? ?????????? ???? ?? ?????????? ?????????????? ??
Other important points :
1. LCM of time taken by train A and train
B shows after how much time they will
meet each other at the starting point.
2. Without stoppage a person travel a
distance at an average speed of km/h ??
and with stoppage it travels the same
distance at km/h and > , then ?? ?? ??
number of minutes per hour does he stop
= 60
???????????? ?????????? - ???????????? ??????????
???????????? ??????????
×
= 60
?? - ??
??
×
Variety Questions
Q.1. A man runs for 40 km. The time
taken by him in the ?rst 10 km is twice
the time taken by him in the second 10
km. The time taken in the third 10 km is
half of the time taken in the fourth 10 km,
and the time taken in the fourth 10 km is
equal to the time taken in the ?rst 10 km.
If his speed in the ?rst 10 km is 40 km/h,
then what is the average speed for 40
km?
SSC CPO 03/10/2023 (1st Shift)
(a) km/h (b) km/h
160
3
70
3
(c) 50 km/h (d) 40 km/h
Q.2. If the ratio among the time taken by
three cars to travel a certain distance is 2
: 3 : 5, then the ratio of speeds of these
cars will be:
SSC MTS 11/09/2023 (1st Shift)
(a) 10 : 6 : 15 (b) 15 : 9 : 8
(c) 10 : 15 : 8 (d) 15 : 10 : 6
Q.3. A policeman chases a thief who is
630 metres ahead of him. If they run at a
speed of 9.5 km per hour and 6.5 km per
hour, respectively, then what distance (in
km, rounded off to 1 decimal place) does
the thief run before he is nabbed by the
policeman?
SSC MTS 01/09/2023 (2nd Shift)
(a) 1.8 (b) 2.0 (c) 1.4 (d) 1.2
Q.4. Anil completed a certain journey by
a car. If he covered 35% of the distance
at 70 km/h. 40% of the distance at 80
km/h and the remaining distance at 50
km/h, his average speed (in km/h) for the
entire journey is:
SSC CHSL 09/08/2023 (1st Shift)
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Page 3
Pinnacle Day: 60th - 63rd Time Speed and Distance
Time Speed and
Distance
KEY - POINTS
1). Time
Time =
????????????????
??????????
We just need to remember this formula.
If two values are given the third can be
found easily.
Ex. A man travels from Delhi to
Chandigarh at a speed of 50 km/h
covering a distance of 300 km. Find the
time taken?
Here, we are given, Distance(D) = 300 km
and Speed(S) = 50 km/h.
= = ? ???????? ?? ( ) =
??
??
300
50
6 h????????
? If the distance is constant then
speed ratio is inversely
proportional to Time ratio.
Similarly, if time is constant
then Speed ratio is equal to
Distance ratio.
Ex 1 : For the same distance, speed in
outward journey and return journey is 50
km/h and 60 km/h. Find the ratio of the
time taken.
Soln : Here, the distance is constant. So,
time taken will be inversely proportional
to speed.
So, the required ratio
= : = : = 6 : 5
1
50
1
60
6
300
5
300
Ex 2 : In the same time, ?nd the ratio of
the distance travelled by A and B at a
speed of 6 km/h and 8 km/h respectively.
Soln : Here, the time taken is constant.
So, the distance covered will be directly
proportional to the speed.
Hence, the required ratio = 6 : 8 = 3 : 4
2). Average speed
a.) When different distance is travelled
each time then,
?????????????? ?????????? =
?????????? ????????????????
?????????? ????????
b.) When same distance is travelled each
time then
For two terms a and b :
, ?????????????? ?????????? =
2 ????
?? + ??
where a and b are speed
For three terms a, b and c :
, ?????????????? ?????????? =
3 ??????
???? + ???? + ????
where a, b and c are speed
Ex. A person travels from point A to point
B at a speed of 30 km/h and comes back
at a speed of 20 km/h. What is his
average speed?
Here, distance travelled is same,
So, average speed = =
2 × 30 × 20
30 + 20
1200
50
= 24 km/h
Total distance traveled when a man •
covers a certain distance with x km/hr
and comes back with y km/hr. He takes
‘t’ hr to complete the whole journey is :
Distance(D) = ( ) t km
????
?? + ??
Example : A man travel a certain
distance by train at the rate of 25 km/hr
and walk back at the rate of 3 km/hr. The
whole journey took 5 hr 36 min. What
distance did he travel by train ?
D = ( ) × = 15 km
25 × 3
25 + 3
28
5
Total distance travelled when a man •
covers a certain distance with x km/hr
and he comes back with a speed of y
km/hr . if he takes ‘t’ hrs more to come
back than go is :
Distance (D) = ( ) t km
????
?? - ??
Example : A man covers a certain
distance by 10 km/hr and becomes 20
min late but if he travels the same
distance with 12 km/hr then he becomes
5 min late. Find the distance ?
D = × (20 - 5) = ×
10 × 12
12 - 10
120
2
15
60
= 15 km
3). Relative Speed
(i). Same Direction -: When two things
are moving in the same direction, the
relative speed is given by the difference
between their respective speeds.
Ex. A and B are going to a same point Z
at speeds of 80 km/h and 60 km/h
respectively.
Relative speed of A with respect to B will
be = 80 – 60 = 20 km/h.
(ii) Opposite direction :- When two things
are moving in opposite directions, the
relative speed is given by the addition of
their respective speeds.
Ex. A is moving towards point Z at 60
km/h and B is going away from point Z at
80 km/h.
Relative speed of A with respect to B
= 60 + 80 = 140 km/h.
4). Circular track:-
(where x m/s, y m/s are speeds
of A and B respectively. L =
length of the track in meters.)
? Meet ?rst time each other at
any point on the track in
opposite direction = sec.
??
?? + ??
? Meet ?rst time each other at
any point on the track in same
direction = sec.
??
?? - ??
? Meet each other exactly at the
starting point in same or
opposite direction = LCM of
sec.
??
??
,
??
??
( )
(i) When three persons A, B and
C are running around a circular
track of length L meters with
speed x, y and z m/s in the
same direction, then
? Meet each other at any point on
the track = LCM of
sec.
??
( ?? - ?? )
,
??
( ?? - ?? )
( )
5). Unit Conversion:
1 km/h = 1 × m/s
1000 ??
3600 ??
=
5
18
So, to convert km/hr to m/sec just
multiply by and to convert m/sec to
5
18
km/hr multiply by .
18
5
Ex. 90 km/h = 90 m/s ×
5
18
??
??
= 25
Also, 25 m/s = 25 ×
18
5
????
h??
= 90 km/h
? When using the unit of speed in
km/h, keep in mind that the unit
of time should also be in hours.
When the unit of speed is used
in m/s, the unit of time should
also be in seconds. That is, the
units of speed and time are the
same.
6). Trains
Case 1: Train crossing a person or, pole.
In such case the length of the person or
pole is taken to be negligible. To cross
the person the train has to cover distance
equal to its length.
Ex. A train, of length 100 m, travelling at
www.ssccglpinnacle.com Download Pinnacle Exam Preparation App 409
Pinnacle Day: 60th - 63rd Time Speed and Distance
90 km/hr will take how much time to
cross a man?
Here, Speed = 90 km/hr
m/s = 90 ×
5
18
??
??
= 25
Distance = Length of train = 100 m
Time = =
????????????????
??????????
100
25
= 4 ??????????????
Case 2: Train crossing a platform.
In such a case the distance covered by
train to cross the platform will be equal
to sum of length of train and platform.
Ex. A train, of length 100 m, travelling at
90 km/hr will take how much time to
cross a platform of length 150 m?
Here,Speed = 90 km/hr
= 25 m/s = 90 ×
5
18
??
??
Distance = Length of train + Length of
platform = 100 + 150 = 250 m
Time = = = 10 sec.
????????????????
??????????
250
25
Case 3: Train crossing another train
moving in same direction. In such case
the distance covered by train to cross the
other train will be equal to sum of lengths
of the two trains. To calculate time we
need to consider relative speed of one
train with respect to the other.
= ???????????????? ??????????
???????????????? ????????????????
???????????????? ????????
Ex. A train, of length 100 m, travelling at
90 km/hr will take how much time to
cross another train, of length 50 m,
moving in same direction at speed of 36
km/hr?
Here, Relative speed of ?rst train with
respect to second train =
(90 – 36) km/h = 15 m/s = 54 ×
5
18
??
??
Distance = Length of ?rst train + Length
of second train = 100 + 50 = 150 m
Time = = = 10 seconds
????????????????
??????????
150
15
Case 4: Train crossing another train
moving in the opposite direction. In such
case the distance covered by train to
cross the other train will be equal to the
sum of lengths of the two trains. To
calculate time we need to consider
relative speed of one train with respect to
the other.
Ex. A train, of length 100 m, travelling at
90 km/hr will take how much time to
cross another train, of length 50 m,
moving in the opposite direction at a
speed of 36 km/hr?
Here, Relative speed of ?rst train with
respect to second train = (90 + 36)
????
h??
= 126 = ×
5
18
??
??
35
??
??
Distance = Length of ?rst train + Length
of second train = 100 + 50 = 150 m
Time = = = seconds
????????????????
??????????
150
35
30
7
Case 5: Train crossing a man sitting in
another train moving in the same
direction.
In such a case, the distance covered by
the train to cross the man will be equal to
the length of the train. To calculate the
time we need to consider the relative
speed of the train with respect to the
man. The length of the second train will
not be considered.
Ex. A train, of length 100 m, travelling at
90 km/hr will take how much time to
cross a man sitting in another train, of
length 50 m, moving in the same
direction at a speed of 36 km/hr?
Speed of the man = 36 km/hr
Here, the Relative speed of the ?rst train
with respect to the man = (90 – 36) km/h
= 15 m/s = 54 ×
5
18
??
??
Distance = Length of ?rst train = 100 m
Time = = = sec
????????????????
??????????
100
15
20
3
Case 6: Train crossing a man sitting in
another train moving in opposite
direction
In such a case the distance covered by
the train to cross the man will be equal to
the length of the train. To calculate time
we need to consider the relative speed of
the train with respect to the man. Length
of the second train will not be
considered.
Ex. A train, of length 100 m, travelling at
90 km/hr will take how much time to
cross a man sitting in another train, of
length 50 m, moving in the opposite
direction at speed of 54 km/hr?
Speed of the man = 54 km/hr
Here, Relative speed of ?rst train with
respect to the man = (90 + 54)
????
h??
= = m/s 144 ×
5
18
??
??
40
Distance = Length of ?rst train = 100 m
Time = = = sec.
????????????????
??????????
100
40
5
2
Case 7 : If two trains starts at same time
from point A and B towards each other
and after crossing each other they take a
and b seconds in reaching B and A
respectively, then :
?? ' ?? ??????????
?? ' ?? ??????????
=
???????? ?????????? ???? ?? ?????????? ?????????????? ??
???????? ?????????? ???? ?? ?????????? ?????????????? ??
Other important points :
1. LCM of time taken by train A and train
B shows after how much time they will
meet each other at the starting point.
2. Without stoppage a person travel a
distance at an average speed of km/h ??
and with stoppage it travels the same
distance at km/h and > , then ?? ?? ??
number of minutes per hour does he stop
= 60
???????????? ?????????? - ???????????? ??????????
???????????? ??????????
×
= 60
?? - ??
??
×
Variety Questions
Q.1. A man runs for 40 km. The time
taken by him in the ?rst 10 km is twice
the time taken by him in the second 10
km. The time taken in the third 10 km is
half of the time taken in the fourth 10 km,
and the time taken in the fourth 10 km is
equal to the time taken in the ?rst 10 km.
If his speed in the ?rst 10 km is 40 km/h,
then what is the average speed for 40
km?
SSC CPO 03/10/2023 (1st Shift)
(a) km/h (b) km/h
160
3
70
3
(c) 50 km/h (d) 40 km/h
Q.2. If the ratio among the time taken by
three cars to travel a certain distance is 2
: 3 : 5, then the ratio of speeds of these
cars will be:
SSC MTS 11/09/2023 (1st Shift)
(a) 10 : 6 : 15 (b) 15 : 9 : 8
(c) 10 : 15 : 8 (d) 15 : 10 : 6
Q.3. A policeman chases a thief who is
630 metres ahead of him. If they run at a
speed of 9.5 km per hour and 6.5 km per
hour, respectively, then what distance (in
km, rounded off to 1 decimal place) does
the thief run before he is nabbed by the
policeman?
SSC MTS 01/09/2023 (2nd Shift)
(a) 1.8 (b) 2.0 (c) 1.4 (d) 1.2
Q.4. Anil completed a certain journey by
a car. If he covered 35% of the distance
at 70 km/h. 40% of the distance at 80
km/h and the remaining distance at 50
km/h, his average speed (in km/h) for the
entire journey is:
SSC CHSL 09/08/2023 (1st Shift)
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Pinnacle Day: 60th - 63rd Time Speed and Distance
(a) 66 km/h (b) 66 km/h
3
3
2
3
(c) 66 km/h (d) 66 km/h
1
3
4
3
Q.5. On parallel tracks, two trains of
equal length are moving at speeds of 46
and 36 kilometers per hour in the same
direction. In 36 seconds, the quicker train
overtakes the slower one. The length of
each train is :
SSC CHSL 07/08/2023 (1st Shift)
(a) 60 m (b) 50 m (c) 56 m (d) 52 m
Q.6. Two men do the same journey by
travelling at the speed of 18 km/h and 24
km/h, respectively. If one man takes 20
minutes more than the other man, then
the distance (in km) of the total journey
is:
SSC CHSL 04/08/2023 (1st Shift)
(a) 24 (b) 20 (c) 18 (d) 21
Q.7. Mohan completed a certain journey
by car. If he covered 30% of the distance
at 90 km/h, 45% of the distance at 135
km/h and the remaining distance at 75
km/h. His average speed (in km/h) for
the entire journey is:
SSC CHSL 03/08/2023 (2nd Shift)
(a) 100 (b) 90 (c) 105 (d) 95
Q.8. A train starts from a station P for
another station Q at 6 p.m. at an average
speed of 75 km per hour. Another train
starts from station Q for station P at 8
p.m. at an average speed of 105 km per
hour. If the distance between these two
stations is 690 km, then at what time will
the two trains meet ?
SSC CHSL 03/08/2023 (1st Shift)
(a) 10 : 30 p.m. (b) 10 p.m.
(c) 11 p.m. (d) 11 : 30 p.m.
Q.9. A boy covers a certain distance
between his house and school on a
cycle. Riding on an average speed of 15
km/h, he is late by 10 min. However, with
an average speed of 20 km/h, he reaches
the school 5 min earlier. Find the
distance between his house and school.
SSC CHSL 02/08/2023 (4th Shift)
(a) 25 km (b) 20 km (c) 15 km (d) 30 km
Q.10. The force (in pound-force) needed
to keep a car from skidding on a curve
varies directly with the weight of the car
(in pounds) and the square of its speed
(in miles per hour [mph]) and inversely
with the radius (in feet) of the curve.
Suppose 6125 pound- force is required to
keep a 2750 pound car, travelling at a
speed of 35 mph, from skidding on a
curve of radius 550 feet. How much
pound-force is then required to keep a
3600 pound car, travelling at a speed of
50 mph, from skidding on a curve of
radius 750 feet?
SSC CGL 26/07/2023 (4th shift)
(a)11960 (b)12150 (c)12240 (d)12000
Q.11. A thief steals an item and escapes,
running at a speed of 15 km/h. A
policeman arrives at the spot of the
crime after 4 minutes and immediately
starts chasing the thief. 16 minutes after
the policeman started to chase the thief;
there is still a gap of 200 m between the
two. At what distance from the spot of
the crime will the policeman catch up the
thief and what is the speed (in km/h) of
the policeman ?
SSC CGL 25/07/2023 (4th shift)
(a) 5.5 km; 16.5 (b) 6 km; 18
(c) 6.5 km; 19.5 (d) 5 km; 15
Q.12. Anil and Tirath drove between two
points A and B 192 km apart. Anil started
the journey from point A at 8 : 20 a.m.;
drove at a speed of 64 km/h; reached
point B and immediately returned to A at
the same speed. Tirath started the
journey from point A at 9 : 50 a.m.; drove
at a speed of 96 km/h; reached point B
and immediately returned to A at the
same speed. At what time did Anil and
Tirath ?rst meet each other?
SSC CGL 21/07/2023 (4th shift)
(a) 11 : 38 a.m. (b) 11 : 28 a.m.
(c) 11 : 43 a.m. (d) 11 : 33 a.m.
Q.13. Anuj and Anup have to travel from
a place A to a place B in their respective
cars, Anuj is driving at 70 km/h, and
takes 3 halts of 10 minutes each, while
Anup is driving at 80 km/h, and takes 4
halts of 15 minutes each. The time taken
by Anup to reach Place B, if Anuj takes
8.5 hours, is :
SSC CGL 21/07/2023 (1st shift)
(a) 8 hours (b) 7 hours
(c) 4 hours (d) 6 hours
Q.14. Anand covers a certain distance in
the ?rst lag of 5 hours at the speed of 50
km/h. In the second lag, he increased the
speed by 20% due to which he covered
20% extra distance than that of the ?rst
lag. He covered the third lag at the
average speed of the ?rst two lags and
covered 10% extra distance than that of
the second lag distance.How much total
time (in hours) did he take to complete
all three lags?
SSC CGL 21/07/2023 (1st shift)
(a) 16 (b) 15 (c) 18 (d) 14
Q.15. A car starts running at an initial
speed of 60km/h, with its speed
increasing every hour by 10 km/h. How
many hours will it take to cover a
distance of 1210 km?
Higher Secondary 30/06/2023(Shift- 2)
(a) 12 (b) 8 (c) 10 (d) 11
Q.16. The distance between two places
is 1200 km. To cover this distance, a
person X takes 5 hours lesser than
another person Y, whose average speed
is 40 km/h lesser than that of X. The time
taken by Y to complete the travel is:
Higher Secondary 27/06/2023 (Shift - 3)
(a) 16 hours (b) 14 hours
(c) 18 hours (d) 15 hours
Q.17. A car left 4 hours later than the
scheduled time but in order to reach its
destination 480 km away in time, it had
to increase its usual speed by 10 km/hr.
What is the usual speed of the car ?
SSC MTS 16/05/2023 (Morning)
(a) 40 km/hr (b) 60 km/hr
(c) 30 km/hr (d) 50 km/hr
Q.18. The speed of a train including
stoppages is 75 kmph and excluding
stoppages, the speed of the train is 90
kmph. For how many minutes does the
train stop per hour?
SSC CHSL 13/03/2023 (3rd Shift)
(a) 10 minutes (b) 15 minutes
(c) 20 minutes (d) 11 minutes
Q.19. A bus starts from a bus station
after every 30 minutes in the same
direction. The speed of each bus is the
same. Z is riding a bike in the opposite
direction at a speed of 25 km/h . Z meets
each bus in 20 minutes. What is the
speed of each bus ?
SSC MTS 19/07/2022 (Evening)
(a) 50 km/h (b) 75 km/h
(c) 30 km/h (d) 60 km/h
Q.20. A person goes from P to Q at a
speed of 20 km/h.Then he goes from Q
to R at a speed of q km/h. Finally the
person goes from R to S at a speed of r
km/h. The distances from P to Q, Q to R
and R to S are equal. If the average speed
from P to R is km/h and the
280
11
average speed from Q to S is km/h,
112
3
then what is the value of r ?
SSC MTS 14/07/2022 (Morning)
(a) 40 (b) 37.5 (c) 42.5 (d) 45
Q.21. A man had to travel 49 km, which
he divided into six stretches which were
exact multiples of either 4 km or 5 km.
The ?rst four stretches were 4 km, 5 km,
8 km, and 10 km. Multiples of 4 km and 5
km were travelled at the rates of 40 and
60 km/h, respectively, and between two
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Page 4
Pinnacle Day: 60th - 63rd Time Speed and Distance
Time Speed and
Distance
KEY - POINTS
1). Time
Time =
????????????????
??????????
We just need to remember this formula.
If two values are given the third can be
found easily.
Ex. A man travels from Delhi to
Chandigarh at a speed of 50 km/h
covering a distance of 300 km. Find the
time taken?
Here, we are given, Distance(D) = 300 km
and Speed(S) = 50 km/h.
= = ? ???????? ?? ( ) =
??
??
300
50
6 h????????
? If the distance is constant then
speed ratio is inversely
proportional to Time ratio.
Similarly, if time is constant
then Speed ratio is equal to
Distance ratio.
Ex 1 : For the same distance, speed in
outward journey and return journey is 50
km/h and 60 km/h. Find the ratio of the
time taken.
Soln : Here, the distance is constant. So,
time taken will be inversely proportional
to speed.
So, the required ratio
= : = : = 6 : 5
1
50
1
60
6
300
5
300
Ex 2 : In the same time, ?nd the ratio of
the distance travelled by A and B at a
speed of 6 km/h and 8 km/h respectively.
Soln : Here, the time taken is constant.
So, the distance covered will be directly
proportional to the speed.
Hence, the required ratio = 6 : 8 = 3 : 4
2). Average speed
a.) When different distance is travelled
each time then,
?????????????? ?????????? =
?????????? ????????????????
?????????? ????????
b.) When same distance is travelled each
time then
For two terms a and b :
, ?????????????? ?????????? =
2 ????
?? + ??
where a and b are speed
For three terms a, b and c :
, ?????????????? ?????????? =
3 ??????
???? + ???? + ????
where a, b and c are speed
Ex. A person travels from point A to point
B at a speed of 30 km/h and comes back
at a speed of 20 km/h. What is his
average speed?
Here, distance travelled is same,
So, average speed = =
2 × 30 × 20
30 + 20
1200
50
= 24 km/h
Total distance traveled when a man •
covers a certain distance with x km/hr
and comes back with y km/hr. He takes
‘t’ hr to complete the whole journey is :
Distance(D) = ( ) t km
????
?? + ??
Example : A man travel a certain
distance by train at the rate of 25 km/hr
and walk back at the rate of 3 km/hr. The
whole journey took 5 hr 36 min. What
distance did he travel by train ?
D = ( ) × = 15 km
25 × 3
25 + 3
28
5
Total distance travelled when a man •
covers a certain distance with x km/hr
and he comes back with a speed of y
km/hr . if he takes ‘t’ hrs more to come
back than go is :
Distance (D) = ( ) t km
????
?? - ??
Example : A man covers a certain
distance by 10 km/hr and becomes 20
min late but if he travels the same
distance with 12 km/hr then he becomes
5 min late. Find the distance ?
D = × (20 - 5) = ×
10 × 12
12 - 10
120
2
15
60
= 15 km
3). Relative Speed
(i). Same Direction -: When two things
are moving in the same direction, the
relative speed is given by the difference
between their respective speeds.
Ex. A and B are going to a same point Z
at speeds of 80 km/h and 60 km/h
respectively.
Relative speed of A with respect to B will
be = 80 – 60 = 20 km/h.
(ii) Opposite direction :- When two things
are moving in opposite directions, the
relative speed is given by the addition of
their respective speeds.
Ex. A is moving towards point Z at 60
km/h and B is going away from point Z at
80 km/h.
Relative speed of A with respect to B
= 60 + 80 = 140 km/h.
4). Circular track:-
(where x m/s, y m/s are speeds
of A and B respectively. L =
length of the track in meters.)
? Meet ?rst time each other at
any point on the track in
opposite direction = sec.
??
?? + ??
? Meet ?rst time each other at
any point on the track in same
direction = sec.
??
?? - ??
? Meet each other exactly at the
starting point in same or
opposite direction = LCM of
sec.
??
??
,
??
??
( )
(i) When three persons A, B and
C are running around a circular
track of length L meters with
speed x, y and z m/s in the
same direction, then
? Meet each other at any point on
the track = LCM of
sec.
??
( ?? - ?? )
,
??
( ?? - ?? )
( )
5). Unit Conversion:
1 km/h = 1 × m/s
1000 ??
3600 ??
=
5
18
So, to convert km/hr to m/sec just
multiply by and to convert m/sec to
5
18
km/hr multiply by .
18
5
Ex. 90 km/h = 90 m/s ×
5
18
??
??
= 25
Also, 25 m/s = 25 ×
18
5
????
h??
= 90 km/h
? When using the unit of speed in
km/h, keep in mind that the unit
of time should also be in hours.
When the unit of speed is used
in m/s, the unit of time should
also be in seconds. That is, the
units of speed and time are the
same.
6). Trains
Case 1: Train crossing a person or, pole.
In such case the length of the person or
pole is taken to be negligible. To cross
the person the train has to cover distance
equal to its length.
Ex. A train, of length 100 m, travelling at
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Pinnacle Day: 60th - 63rd Time Speed and Distance
90 km/hr will take how much time to
cross a man?
Here, Speed = 90 km/hr
m/s = 90 ×
5
18
??
??
= 25
Distance = Length of train = 100 m
Time = =
????????????????
??????????
100
25
= 4 ??????????????
Case 2: Train crossing a platform.
In such a case the distance covered by
train to cross the platform will be equal
to sum of length of train and platform.
Ex. A train, of length 100 m, travelling at
90 km/hr will take how much time to
cross a platform of length 150 m?
Here,Speed = 90 km/hr
= 25 m/s = 90 ×
5
18
??
??
Distance = Length of train + Length of
platform = 100 + 150 = 250 m
Time = = = 10 sec.
????????????????
??????????
250
25
Case 3: Train crossing another train
moving in same direction. In such case
the distance covered by train to cross the
other train will be equal to sum of lengths
of the two trains. To calculate time we
need to consider relative speed of one
train with respect to the other.
= ???????????????? ??????????
???????????????? ????????????????
???????????????? ????????
Ex. A train, of length 100 m, travelling at
90 km/hr will take how much time to
cross another train, of length 50 m,
moving in same direction at speed of 36
km/hr?
Here, Relative speed of ?rst train with
respect to second train =
(90 – 36) km/h = 15 m/s = 54 ×
5
18
??
??
Distance = Length of ?rst train + Length
of second train = 100 + 50 = 150 m
Time = = = 10 seconds
????????????????
??????????
150
15
Case 4: Train crossing another train
moving in the opposite direction. In such
case the distance covered by train to
cross the other train will be equal to the
sum of lengths of the two trains. To
calculate time we need to consider
relative speed of one train with respect to
the other.
Ex. A train, of length 100 m, travelling at
90 km/hr will take how much time to
cross another train, of length 50 m,
moving in the opposite direction at a
speed of 36 km/hr?
Here, Relative speed of ?rst train with
respect to second train = (90 + 36)
????
h??
= 126 = ×
5
18
??
??
35
??
??
Distance = Length of ?rst train + Length
of second train = 100 + 50 = 150 m
Time = = = seconds
????????????????
??????????
150
35
30
7
Case 5: Train crossing a man sitting in
another train moving in the same
direction.
In such a case, the distance covered by
the train to cross the man will be equal to
the length of the train. To calculate the
time we need to consider the relative
speed of the train with respect to the
man. The length of the second train will
not be considered.
Ex. A train, of length 100 m, travelling at
90 km/hr will take how much time to
cross a man sitting in another train, of
length 50 m, moving in the same
direction at a speed of 36 km/hr?
Speed of the man = 36 km/hr
Here, the Relative speed of the ?rst train
with respect to the man = (90 – 36) km/h
= 15 m/s = 54 ×
5
18
??
??
Distance = Length of ?rst train = 100 m
Time = = = sec
????????????????
??????????
100
15
20
3
Case 6: Train crossing a man sitting in
another train moving in opposite
direction
In such a case the distance covered by
the train to cross the man will be equal to
the length of the train. To calculate time
we need to consider the relative speed of
the train with respect to the man. Length
of the second train will not be
considered.
Ex. A train, of length 100 m, travelling at
90 km/hr will take how much time to
cross a man sitting in another train, of
length 50 m, moving in the opposite
direction at speed of 54 km/hr?
Speed of the man = 54 km/hr
Here, Relative speed of ?rst train with
respect to the man = (90 + 54)
????
h??
= = m/s 144 ×
5
18
??
??
40
Distance = Length of ?rst train = 100 m
Time = = = sec.
????????????????
??????????
100
40
5
2
Case 7 : If two trains starts at same time
from point A and B towards each other
and after crossing each other they take a
and b seconds in reaching B and A
respectively, then :
?? ' ?? ??????????
?? ' ?? ??????????
=
???????? ?????????? ???? ?? ?????????? ?????????????? ??
???????? ?????????? ???? ?? ?????????? ?????????????? ??
Other important points :
1. LCM of time taken by train A and train
B shows after how much time they will
meet each other at the starting point.
2. Without stoppage a person travel a
distance at an average speed of km/h ??
and with stoppage it travels the same
distance at km/h and > , then ?? ?? ??
number of minutes per hour does he stop
= 60
???????????? ?????????? - ???????????? ??????????
???????????? ??????????
×
= 60
?? - ??
??
×
Variety Questions
Q.1. A man runs for 40 km. The time
taken by him in the ?rst 10 km is twice
the time taken by him in the second 10
km. The time taken in the third 10 km is
half of the time taken in the fourth 10 km,
and the time taken in the fourth 10 km is
equal to the time taken in the ?rst 10 km.
If his speed in the ?rst 10 km is 40 km/h,
then what is the average speed for 40
km?
SSC CPO 03/10/2023 (1st Shift)
(a) km/h (b) km/h
160
3
70
3
(c) 50 km/h (d) 40 km/h
Q.2. If the ratio among the time taken by
three cars to travel a certain distance is 2
: 3 : 5, then the ratio of speeds of these
cars will be:
SSC MTS 11/09/2023 (1st Shift)
(a) 10 : 6 : 15 (b) 15 : 9 : 8
(c) 10 : 15 : 8 (d) 15 : 10 : 6
Q.3. A policeman chases a thief who is
630 metres ahead of him. If they run at a
speed of 9.5 km per hour and 6.5 km per
hour, respectively, then what distance (in
km, rounded off to 1 decimal place) does
the thief run before he is nabbed by the
policeman?
SSC MTS 01/09/2023 (2nd Shift)
(a) 1.8 (b) 2.0 (c) 1.4 (d) 1.2
Q.4. Anil completed a certain journey by
a car. If he covered 35% of the distance
at 70 km/h. 40% of the distance at 80
km/h and the remaining distance at 50
km/h, his average speed (in km/h) for the
entire journey is:
SSC CHSL 09/08/2023 (1st Shift)
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Pinnacle Day: 60th - 63rd Time Speed and Distance
(a) 66 km/h (b) 66 km/h
3
3
2
3
(c) 66 km/h (d) 66 km/h
1
3
4
3
Q.5. On parallel tracks, two trains of
equal length are moving at speeds of 46
and 36 kilometers per hour in the same
direction. In 36 seconds, the quicker train
overtakes the slower one. The length of
each train is :
SSC CHSL 07/08/2023 (1st Shift)
(a) 60 m (b) 50 m (c) 56 m (d) 52 m
Q.6. Two men do the same journey by
travelling at the speed of 18 km/h and 24
km/h, respectively. If one man takes 20
minutes more than the other man, then
the distance (in km) of the total journey
is:
SSC CHSL 04/08/2023 (1st Shift)
(a) 24 (b) 20 (c) 18 (d) 21
Q.7. Mohan completed a certain journey
by car. If he covered 30% of the distance
at 90 km/h, 45% of the distance at 135
km/h and the remaining distance at 75
km/h. His average speed (in km/h) for
the entire journey is:
SSC CHSL 03/08/2023 (2nd Shift)
(a) 100 (b) 90 (c) 105 (d) 95
Q.8. A train starts from a station P for
another station Q at 6 p.m. at an average
speed of 75 km per hour. Another train
starts from station Q for station P at 8
p.m. at an average speed of 105 km per
hour. If the distance between these two
stations is 690 km, then at what time will
the two trains meet ?
SSC CHSL 03/08/2023 (1st Shift)
(a) 10 : 30 p.m. (b) 10 p.m.
(c) 11 p.m. (d) 11 : 30 p.m.
Q.9. A boy covers a certain distance
between his house and school on a
cycle. Riding on an average speed of 15
km/h, he is late by 10 min. However, with
an average speed of 20 km/h, he reaches
the school 5 min earlier. Find the
distance between his house and school.
SSC CHSL 02/08/2023 (4th Shift)
(a) 25 km (b) 20 km (c) 15 km (d) 30 km
Q.10. The force (in pound-force) needed
to keep a car from skidding on a curve
varies directly with the weight of the car
(in pounds) and the square of its speed
(in miles per hour [mph]) and inversely
with the radius (in feet) of the curve.
Suppose 6125 pound- force is required to
keep a 2750 pound car, travelling at a
speed of 35 mph, from skidding on a
curve of radius 550 feet. How much
pound-force is then required to keep a
3600 pound car, travelling at a speed of
50 mph, from skidding on a curve of
radius 750 feet?
SSC CGL 26/07/2023 (4th shift)
(a)11960 (b)12150 (c)12240 (d)12000
Q.11. A thief steals an item and escapes,
running at a speed of 15 km/h. A
policeman arrives at the spot of the
crime after 4 minutes and immediately
starts chasing the thief. 16 minutes after
the policeman started to chase the thief;
there is still a gap of 200 m between the
two. At what distance from the spot of
the crime will the policeman catch up the
thief and what is the speed (in km/h) of
the policeman ?
SSC CGL 25/07/2023 (4th shift)
(a) 5.5 km; 16.5 (b) 6 km; 18
(c) 6.5 km; 19.5 (d) 5 km; 15
Q.12. Anil and Tirath drove between two
points A and B 192 km apart. Anil started
the journey from point A at 8 : 20 a.m.;
drove at a speed of 64 km/h; reached
point B and immediately returned to A at
the same speed. Tirath started the
journey from point A at 9 : 50 a.m.; drove
at a speed of 96 km/h; reached point B
and immediately returned to A at the
same speed. At what time did Anil and
Tirath ?rst meet each other?
SSC CGL 21/07/2023 (4th shift)
(a) 11 : 38 a.m. (b) 11 : 28 a.m.
(c) 11 : 43 a.m. (d) 11 : 33 a.m.
Q.13. Anuj and Anup have to travel from
a place A to a place B in their respective
cars, Anuj is driving at 70 km/h, and
takes 3 halts of 10 minutes each, while
Anup is driving at 80 km/h, and takes 4
halts of 15 minutes each. The time taken
by Anup to reach Place B, if Anuj takes
8.5 hours, is :
SSC CGL 21/07/2023 (1st shift)
(a) 8 hours (b) 7 hours
(c) 4 hours (d) 6 hours
Q.14. Anand covers a certain distance in
the ?rst lag of 5 hours at the speed of 50
km/h. In the second lag, he increased the
speed by 20% due to which he covered
20% extra distance than that of the ?rst
lag. He covered the third lag at the
average speed of the ?rst two lags and
covered 10% extra distance than that of
the second lag distance.How much total
time (in hours) did he take to complete
all three lags?
SSC CGL 21/07/2023 (1st shift)
(a) 16 (b) 15 (c) 18 (d) 14
Q.15. A car starts running at an initial
speed of 60km/h, with its speed
increasing every hour by 10 km/h. How
many hours will it take to cover a
distance of 1210 km?
Higher Secondary 30/06/2023(Shift- 2)
(a) 12 (b) 8 (c) 10 (d) 11
Q.16. The distance between two places
is 1200 km. To cover this distance, a
person X takes 5 hours lesser than
another person Y, whose average speed
is 40 km/h lesser than that of X. The time
taken by Y to complete the travel is:
Higher Secondary 27/06/2023 (Shift - 3)
(a) 16 hours (b) 14 hours
(c) 18 hours (d) 15 hours
Q.17. A car left 4 hours later than the
scheduled time but in order to reach its
destination 480 km away in time, it had
to increase its usual speed by 10 km/hr.
What is the usual speed of the car ?
SSC MTS 16/05/2023 (Morning)
(a) 40 km/hr (b) 60 km/hr
(c) 30 km/hr (d) 50 km/hr
Q.18. The speed of a train including
stoppages is 75 kmph and excluding
stoppages, the speed of the train is 90
kmph. For how many minutes does the
train stop per hour?
SSC CHSL 13/03/2023 (3rd Shift)
(a) 10 minutes (b) 15 minutes
(c) 20 minutes (d) 11 minutes
Q.19. A bus starts from a bus station
after every 30 minutes in the same
direction. The speed of each bus is the
same. Z is riding a bike in the opposite
direction at a speed of 25 km/h . Z meets
each bus in 20 minutes. What is the
speed of each bus ?
SSC MTS 19/07/2022 (Evening)
(a) 50 km/h (b) 75 km/h
(c) 30 km/h (d) 60 km/h
Q.20. A person goes from P to Q at a
speed of 20 km/h.Then he goes from Q
to R at a speed of q km/h. Finally the
person goes from R to S at a speed of r
km/h. The distances from P to Q, Q to R
and R to S are equal. If the average speed
from P to R is km/h and the
280
11
average speed from Q to S is km/h,
112
3
then what is the value of r ?
SSC MTS 14/07/2022 (Morning)
(a) 40 (b) 37.5 (c) 42.5 (d) 45
Q.21. A man had to travel 49 km, which
he divided into six stretches which were
exact multiples of either 4 km or 5 km.
The ?rst four stretches were 4 km, 5 km,
8 km, and 10 km. Multiples of 4 km and 5
km were travelled at the rates of 40 and
60 km/h, respectively, and between two
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Pinnacle Day: 60th - 63rd Time Speed and Distance
consecutive stretches, he rested for six
minutes. What was his average speed (in
km/h) for the whole journey?
SSC MTS 18/10/2021 (Evening)
(a) 31 (b) 32 (c) 33 (d) 34
7
11
4
13
3
8
4
15
Q.22. A takes 2 hours more than B to
cover a distance of 40 km. If A doubles
his speed, he takes 1 hour more than B
1
2
to cover 80 km. To cover a distance of
120 km, how much time (in hours) will B
take travelling at his same speed?
SSC CGL 20/08/2021 (Morning)
(a) 1 (b) 1 (c) 1 (d) 1
1
3
2
3
1
4
1
2
Q.23. A train leaves station A at 8 am
and reaches station B at 12 noon. A car
leaves station B at 8:30 am and reaches
station A at the same time when the train
reaches station B. At what time do they
meet?
SSC CGL 16/08/2021 (Afternoon)
(a) 9 : 38 am (b) 10 : 22 am
(c) 10 : 08 am (d) 9 : 52 am
Q.24. X and Y start at the same time to
ride from place A to place B, which is
80km away from A. X travels 4 km/hour
slower than Y.Y reaches place B and at
once turns back meeting X, 16 km from
place B. Y’s speed(in km/h) is:
SSC CHSL 04/08/2021 (Evening)
(a) 9 (b) 15 (c) 8 (d) 12
Q.25. Vaibhav and Vignesh each travel a
distance of 78 km such that the speed of
Vaibhav is faster than that of Vignesh.
The sum of their speeds is 91 kmph and
the total time taken by both is 3 hours
and 30 minutes. The speed (Km/h) of
Vaibhav is:
SSC CHSL 15/04/2021 (Evening)
(a) 48 (b) 45 (c) 52 (d) 54
Q.26. Train A takes 1 hours more than
4
5
the time taken by train B to cover a
distance of 360 km. If the speed of train
A doubles, it will take 36 min less than
the time taken by train B to travel the
same distance. What is the speed of
train B ? (in kmph)
SSC CHSL 13/04/2021 (Afternoon)
(a) 96 (b) 100 (c) 90 (d) 120
Q.27. Two trains start at the same time
from two stations and proceed towards
each other at speeds of 90 km/h and 70
km /h , respectively. When they meet, it is
found that one train has travelled 140 km
more than the other. What is the distance
between the two stations? (in km)
SSC CHSL 12/04/2021 (Afternoon)
(a) 980 (b) 1100 (c) 1200 (d) 1120
Q.28. A person travels a distance of
300km and then returns to the starting
point. The time taken by him for the
outward journey is 5 hours more than the
time taken for the return journey. If he
returns at a speed of 10km/h more than
the speed of going, what is the average
speed (in km/h) for the entire journey ?
SSC CPO 23/11/2020 (Evening)
(a) 24 (b) 15 (c) 20 (d) 30
Q.29. A delivery boy started from his
o?ce at 10 a.m. to deliver an article. He
rode his scooter at a speed of 32 km/h.
He delivered the article and waited for 15
minutes to get the payment. After the
payment was made, he reached his o?ce
at 11 : 25 a.m., travelling at a speed of 24
km/h. Find the total distance travelled by
the boy.
SSC CGL Tier II (18/11/2020)
(a) 32 km (b) 30 km (c) 35 km (d) 40 km
Q.30. The distance between two railway
stations is 1176 km. To cover this
distance, an express train 5 hours less
than a passenger train while the average
speed of the passenger train is 70 km/h
less than that of the express train. The
time taken by the passenger train to
complete the travel is:
SSC CHSL 13/10/2020 (Morning)
(a) 18 (b) 17 (c) 23 (d) 12
Q.31. Two cars start from the same
place at the same time at right angles to
each other. Their speeds are 54 km/h
and 72 km/h, respectively. After 20
seconds, the distance between them will
be :
SSC CHSL 17/03/2020 (Evening)
(a) 480 m (b) 540 m (c) 720 m (d) 500 m
Q.32. X and Y are two stations which are
280 km apart. A train starts at a certain
time from X and travels towards Y at 60
km/h. After 2 hours, another train starts
from Y and travels towards X at 20 km/h.
After how many hours does the train
leaving from X meets the train which left
from Y ?
SSC CGL 09/03/2020 (Morning)
(a) 3 (b) 6 (c) 4 (d) 2
Q.33. A person travels a distance of 240
km, partly by train and the rest by bus. He
takes 3 hours if he travels 150 km by
1
2
train and the rest by bus. If he travels 140
km by bus and the rest by train, he takes
3 hours. What is the speed of the train
2
3
(in km/h) ?
SSC CPO 09/12/2019 (Evening)
(a) 72 (b) 75 (c) 80 (d) 70
Q.34. A person covers 40% of the
distance from A to B at 8 km/h, 40% of
the remaining distance at 9 km/h and the
rest at 12 km/h. His average speed (in
km/h) for the journey is :
SSC CGL Tier II (13/09/2019)
(a) 9 (b) 9 (c) 9 (d) 9
5
8
2
3
3
8
1
3
Q.35. Renu was sitting inside train A,
which was travelling at 50 km/h. Another
train, B, whose length was three times
the length of A crossed her in the
opposite direction in 15 seconds. If the
speed of train B was 58 km/h, then the
length of train A (in m) is :
SSC CGL Tier II (12/09/2019)
(a) 210 (b) 180 (c) 160 (d) 150
Q.36. A train runs 50% faster than a car.
Both start running from the same point
and meet after covering a distance of
360 km. In the middle of this journey, the
train stops for two hours due to some
faults in the engine. What is the speed of
the train ? (in km/h)
SSC MTS 16/08/2019 (Evening)
(a) 80 (b) 60 (c) 72 (d) 90
Q.37. A train goes from P to Q with a
speed km/h, then from Q to R (QR = µ
2PQ) with a speed 3 km/h, and returns µ
from R to P with a speed km/h. What
µ
2
is the average speed (in km/h) of the
train for the entire journey starting from P
and back to P?
SSC CHSL 11/07/2019 (Afternoon)
(a) (b) (c) (d)
18 µ
23
4 µ
3
16 µ
23
3 µ
2
Q.38. The platform of a station 400 m
long starts exactly where the last span of
a bridge 1.2 km long ends. How long(in
min.) will a train 200 m long and
travelling at the speed of 72 km/h take to
cover the distance between the starting
point of the span of the bridge and the
far end of the platform?
SSC CHSL 11/07/2019 (Morning)
(a) 1.6 (b) 1.5 (c) 1.8 (d) 1.2
Q.39. A 360 m long running at a uniform
speed, crosses a platform in 55 seconds
and a man standing on the platform in 24
seconds. What is the length (in metres)
of the platform?
SSC CHSL 03/07/2019 (Morning)
(a) 480 (b) 445 (c) 410 (d) 465
Q.40. Amit travelled from A to B at an
average speed of 80 km/h. He travelled
the ?rst 75% of the distance in two-third
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Page 5
Pinnacle Day: 60th - 63rd Time Speed and Distance
Time Speed and
Distance
KEY - POINTS
1). Time
Time =
????????????????
??????????
We just need to remember this formula.
If two values are given the third can be
found easily.
Ex. A man travels from Delhi to
Chandigarh at a speed of 50 km/h
covering a distance of 300 km. Find the
time taken?
Here, we are given, Distance(D) = 300 km
and Speed(S) = 50 km/h.
= = ? ???????? ?? ( ) =
??
??
300
50
6 h????????
? If the distance is constant then
speed ratio is inversely
proportional to Time ratio.
Similarly, if time is constant
then Speed ratio is equal to
Distance ratio.
Ex 1 : For the same distance, speed in
outward journey and return journey is 50
km/h and 60 km/h. Find the ratio of the
time taken.
Soln : Here, the distance is constant. So,
time taken will be inversely proportional
to speed.
So, the required ratio
= : = : = 6 : 5
1
50
1
60
6
300
5
300
Ex 2 : In the same time, ?nd the ratio of
the distance travelled by A and B at a
speed of 6 km/h and 8 km/h respectively.
Soln : Here, the time taken is constant.
So, the distance covered will be directly
proportional to the speed.
Hence, the required ratio = 6 : 8 = 3 : 4
2). Average speed
a.) When different distance is travelled
each time then,
?????????????? ?????????? =
?????????? ????????????????
?????????? ????????
b.) When same distance is travelled each
time then
For two terms a and b :
, ?????????????? ?????????? =
2 ????
?? + ??
where a and b are speed
For three terms a, b and c :
, ?????????????? ?????????? =
3 ??????
???? + ???? + ????
where a, b and c are speed
Ex. A person travels from point A to point
B at a speed of 30 km/h and comes back
at a speed of 20 km/h. What is his
average speed?
Here, distance travelled is same,
So, average speed = =
2 × 30 × 20
30 + 20
1200
50
= 24 km/h
Total distance traveled when a man •
covers a certain distance with x km/hr
and comes back with y km/hr. He takes
‘t’ hr to complete the whole journey is :
Distance(D) = ( ) t km
????
?? + ??
Example : A man travel a certain
distance by train at the rate of 25 km/hr
and walk back at the rate of 3 km/hr. The
whole journey took 5 hr 36 min. What
distance did he travel by train ?
D = ( ) × = 15 km
25 × 3
25 + 3
28
5
Total distance travelled when a man •
covers a certain distance with x km/hr
and he comes back with a speed of y
km/hr . if he takes ‘t’ hrs more to come
back than go is :
Distance (D) = ( ) t km
????
?? - ??
Example : A man covers a certain
distance by 10 km/hr and becomes 20
min late but if he travels the same
distance with 12 km/hr then he becomes
5 min late. Find the distance ?
D = × (20 - 5) = ×
10 × 12
12 - 10
120
2
15
60
= 15 km
3). Relative Speed
(i). Same Direction -: When two things
are moving in the same direction, the
relative speed is given by the difference
between their respective speeds.
Ex. A and B are going to a same point Z
at speeds of 80 km/h and 60 km/h
respectively.
Relative speed of A with respect to B will
be = 80 – 60 = 20 km/h.
(ii) Opposite direction :- When two things
are moving in opposite directions, the
relative speed is given by the addition of
their respective speeds.
Ex. A is moving towards point Z at 60
km/h and B is going away from point Z at
80 km/h.
Relative speed of A with respect to B
= 60 + 80 = 140 km/h.
4). Circular track:-
(where x m/s, y m/s are speeds
of A and B respectively. L =
length of the track in meters.)
? Meet ?rst time each other at
any point on the track in
opposite direction = sec.
??
?? + ??
? Meet ?rst time each other at
any point on the track in same
direction = sec.
??
?? - ??
? Meet each other exactly at the
starting point in same or
opposite direction = LCM of
sec.
??
??
,
??
??
( )
(i) When three persons A, B and
C are running around a circular
track of length L meters with
speed x, y and z m/s in the
same direction, then
? Meet each other at any point on
the track = LCM of
sec.
??
( ?? - ?? )
,
??
( ?? - ?? )
( )
5). Unit Conversion:
1 km/h = 1 × m/s
1000 ??
3600 ??
=
5
18
So, to convert km/hr to m/sec just
multiply by and to convert m/sec to
5
18
km/hr multiply by .
18
5
Ex. 90 km/h = 90 m/s ×
5
18
??
??
= 25
Also, 25 m/s = 25 ×
18
5
????
h??
= 90 km/h
? When using the unit of speed in
km/h, keep in mind that the unit
of time should also be in hours.
When the unit of speed is used
in m/s, the unit of time should
also be in seconds. That is, the
units of speed and time are the
same.
6). Trains
Case 1: Train crossing a person or, pole.
In such case the length of the person or
pole is taken to be negligible. To cross
the person the train has to cover distance
equal to its length.
Ex. A train, of length 100 m, travelling at
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Pinnacle Day: 60th - 63rd Time Speed and Distance
90 km/hr will take how much time to
cross a man?
Here, Speed = 90 km/hr
m/s = 90 ×
5
18
??
??
= 25
Distance = Length of train = 100 m
Time = =
????????????????
??????????
100
25
= 4 ??????????????
Case 2: Train crossing a platform.
In such a case the distance covered by
train to cross the platform will be equal
to sum of length of train and platform.
Ex. A train, of length 100 m, travelling at
90 km/hr will take how much time to
cross a platform of length 150 m?
Here,Speed = 90 km/hr
= 25 m/s = 90 ×
5
18
??
??
Distance = Length of train + Length of
platform = 100 + 150 = 250 m
Time = = = 10 sec.
????????????????
??????????
250
25
Case 3: Train crossing another train
moving in same direction. In such case
the distance covered by train to cross the
other train will be equal to sum of lengths
of the two trains. To calculate time we
need to consider relative speed of one
train with respect to the other.
= ???????????????? ??????????
???????????????? ????????????????
???????????????? ????????
Ex. A train, of length 100 m, travelling at
90 km/hr will take how much time to
cross another train, of length 50 m,
moving in same direction at speed of 36
km/hr?
Here, Relative speed of ?rst train with
respect to second train =
(90 – 36) km/h = 15 m/s = 54 ×
5
18
??
??
Distance = Length of ?rst train + Length
of second train = 100 + 50 = 150 m
Time = = = 10 seconds
????????????????
??????????
150
15
Case 4: Train crossing another train
moving in the opposite direction. In such
case the distance covered by train to
cross the other train will be equal to the
sum of lengths of the two trains. To
calculate time we need to consider
relative speed of one train with respect to
the other.
Ex. A train, of length 100 m, travelling at
90 km/hr will take how much time to
cross another train, of length 50 m,
moving in the opposite direction at a
speed of 36 km/hr?
Here, Relative speed of ?rst train with
respect to second train = (90 + 36)
????
h??
= 126 = ×
5
18
??
??
35
??
??
Distance = Length of ?rst train + Length
of second train = 100 + 50 = 150 m
Time = = = seconds
????????????????
??????????
150
35
30
7
Case 5: Train crossing a man sitting in
another train moving in the same
direction.
In such a case, the distance covered by
the train to cross the man will be equal to
the length of the train. To calculate the
time we need to consider the relative
speed of the train with respect to the
man. The length of the second train will
not be considered.
Ex. A train, of length 100 m, travelling at
90 km/hr will take how much time to
cross a man sitting in another train, of
length 50 m, moving in the same
direction at a speed of 36 km/hr?
Speed of the man = 36 km/hr
Here, the Relative speed of the ?rst train
with respect to the man = (90 – 36) km/h
= 15 m/s = 54 ×
5
18
??
??
Distance = Length of ?rst train = 100 m
Time = = = sec
????????????????
??????????
100
15
20
3
Case 6: Train crossing a man sitting in
another train moving in opposite
direction
In such a case the distance covered by
the train to cross the man will be equal to
the length of the train. To calculate time
we need to consider the relative speed of
the train with respect to the man. Length
of the second train will not be
considered.
Ex. A train, of length 100 m, travelling at
90 km/hr will take how much time to
cross a man sitting in another train, of
length 50 m, moving in the opposite
direction at speed of 54 km/hr?
Speed of the man = 54 km/hr
Here, Relative speed of ?rst train with
respect to the man = (90 + 54)
????
h??
= = m/s 144 ×
5
18
??
??
40
Distance = Length of ?rst train = 100 m
Time = = = sec.
????????????????
??????????
100
40
5
2
Case 7 : If two trains starts at same time
from point A and B towards each other
and after crossing each other they take a
and b seconds in reaching B and A
respectively, then :
?? ' ?? ??????????
?? ' ?? ??????????
=
???????? ?????????? ???? ?? ?????????? ?????????????? ??
???????? ?????????? ???? ?? ?????????? ?????????????? ??
Other important points :
1. LCM of time taken by train A and train
B shows after how much time they will
meet each other at the starting point.
2. Without stoppage a person travel a
distance at an average speed of km/h ??
and with stoppage it travels the same
distance at km/h and > , then ?? ?? ??
number of minutes per hour does he stop
= 60
???????????? ?????????? - ???????????? ??????????
???????????? ??????????
×
= 60
?? - ??
??
×
Variety Questions
Q.1. A man runs for 40 km. The time
taken by him in the ?rst 10 km is twice
the time taken by him in the second 10
km. The time taken in the third 10 km is
half of the time taken in the fourth 10 km,
and the time taken in the fourth 10 km is
equal to the time taken in the ?rst 10 km.
If his speed in the ?rst 10 km is 40 km/h,
then what is the average speed for 40
km?
SSC CPO 03/10/2023 (1st Shift)
(a) km/h (b) km/h
160
3
70
3
(c) 50 km/h (d) 40 km/h
Q.2. If the ratio among the time taken by
three cars to travel a certain distance is 2
: 3 : 5, then the ratio of speeds of these
cars will be:
SSC MTS 11/09/2023 (1st Shift)
(a) 10 : 6 : 15 (b) 15 : 9 : 8
(c) 10 : 15 : 8 (d) 15 : 10 : 6
Q.3. A policeman chases a thief who is
630 metres ahead of him. If they run at a
speed of 9.5 km per hour and 6.5 km per
hour, respectively, then what distance (in
km, rounded off to 1 decimal place) does
the thief run before he is nabbed by the
policeman?
SSC MTS 01/09/2023 (2nd Shift)
(a) 1.8 (b) 2.0 (c) 1.4 (d) 1.2
Q.4. Anil completed a certain journey by
a car. If he covered 35% of the distance
at 70 km/h. 40% of the distance at 80
km/h and the remaining distance at 50
km/h, his average speed (in km/h) for the
entire journey is:
SSC CHSL 09/08/2023 (1st Shift)
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Pinnacle Day: 60th - 63rd Time Speed and Distance
(a) 66 km/h (b) 66 km/h
3
3
2
3
(c) 66 km/h (d) 66 km/h
1
3
4
3
Q.5. On parallel tracks, two trains of
equal length are moving at speeds of 46
and 36 kilometers per hour in the same
direction. In 36 seconds, the quicker train
overtakes the slower one. The length of
each train is :
SSC CHSL 07/08/2023 (1st Shift)
(a) 60 m (b) 50 m (c) 56 m (d) 52 m
Q.6. Two men do the same journey by
travelling at the speed of 18 km/h and 24
km/h, respectively. If one man takes 20
minutes more than the other man, then
the distance (in km) of the total journey
is:
SSC CHSL 04/08/2023 (1st Shift)
(a) 24 (b) 20 (c) 18 (d) 21
Q.7. Mohan completed a certain journey
by car. If he covered 30% of the distance
at 90 km/h, 45% of the distance at 135
km/h and the remaining distance at 75
km/h. His average speed (in km/h) for
the entire journey is:
SSC CHSL 03/08/2023 (2nd Shift)
(a) 100 (b) 90 (c) 105 (d) 95
Q.8. A train starts from a station P for
another station Q at 6 p.m. at an average
speed of 75 km per hour. Another train
starts from station Q for station P at 8
p.m. at an average speed of 105 km per
hour. If the distance between these two
stations is 690 km, then at what time will
the two trains meet ?
SSC CHSL 03/08/2023 (1st Shift)
(a) 10 : 30 p.m. (b) 10 p.m.
(c) 11 p.m. (d) 11 : 30 p.m.
Q.9. A boy covers a certain distance
between his house and school on a
cycle. Riding on an average speed of 15
km/h, he is late by 10 min. However, with
an average speed of 20 km/h, he reaches
the school 5 min earlier. Find the
distance between his house and school.
SSC CHSL 02/08/2023 (4th Shift)
(a) 25 km (b) 20 km (c) 15 km (d) 30 km
Q.10. The force (in pound-force) needed
to keep a car from skidding on a curve
varies directly with the weight of the car
(in pounds) and the square of its speed
(in miles per hour [mph]) and inversely
with the radius (in feet) of the curve.
Suppose 6125 pound- force is required to
keep a 2750 pound car, travelling at a
speed of 35 mph, from skidding on a
curve of radius 550 feet. How much
pound-force is then required to keep a
3600 pound car, travelling at a speed of
50 mph, from skidding on a curve of
radius 750 feet?
SSC CGL 26/07/2023 (4th shift)
(a)11960 (b)12150 (c)12240 (d)12000
Q.11. A thief steals an item and escapes,
running at a speed of 15 km/h. A
policeman arrives at the spot of the
crime after 4 minutes and immediately
starts chasing the thief. 16 minutes after
the policeman started to chase the thief;
there is still a gap of 200 m between the
two. At what distance from the spot of
the crime will the policeman catch up the
thief and what is the speed (in km/h) of
the policeman ?
SSC CGL 25/07/2023 (4th shift)
(a) 5.5 km; 16.5 (b) 6 km; 18
(c) 6.5 km; 19.5 (d) 5 km; 15
Q.12. Anil and Tirath drove between two
points A and B 192 km apart. Anil started
the journey from point A at 8 : 20 a.m.;
drove at a speed of 64 km/h; reached
point B and immediately returned to A at
the same speed. Tirath started the
journey from point A at 9 : 50 a.m.; drove
at a speed of 96 km/h; reached point B
and immediately returned to A at the
same speed. At what time did Anil and
Tirath ?rst meet each other?
SSC CGL 21/07/2023 (4th shift)
(a) 11 : 38 a.m. (b) 11 : 28 a.m.
(c) 11 : 43 a.m. (d) 11 : 33 a.m.
Q.13. Anuj and Anup have to travel from
a place A to a place B in their respective
cars, Anuj is driving at 70 km/h, and
takes 3 halts of 10 minutes each, while
Anup is driving at 80 km/h, and takes 4
halts of 15 minutes each. The time taken
by Anup to reach Place B, if Anuj takes
8.5 hours, is :
SSC CGL 21/07/2023 (1st shift)
(a) 8 hours (b) 7 hours
(c) 4 hours (d) 6 hours
Q.14. Anand covers a certain distance in
the ?rst lag of 5 hours at the speed of 50
km/h. In the second lag, he increased the
speed by 20% due to which he covered
20% extra distance than that of the ?rst
lag. He covered the third lag at the
average speed of the ?rst two lags and
covered 10% extra distance than that of
the second lag distance.How much total
time (in hours) did he take to complete
all three lags?
SSC CGL 21/07/2023 (1st shift)
(a) 16 (b) 15 (c) 18 (d) 14
Q.15. A car starts running at an initial
speed of 60km/h, with its speed
increasing every hour by 10 km/h. How
many hours will it take to cover a
distance of 1210 km?
Higher Secondary 30/06/2023(Shift- 2)
(a) 12 (b) 8 (c) 10 (d) 11
Q.16. The distance between two places
is 1200 km. To cover this distance, a
person X takes 5 hours lesser than
another person Y, whose average speed
is 40 km/h lesser than that of X. The time
taken by Y to complete the travel is:
Higher Secondary 27/06/2023 (Shift - 3)
(a) 16 hours (b) 14 hours
(c) 18 hours (d) 15 hours
Q.17. A car left 4 hours later than the
scheduled time but in order to reach its
destination 480 km away in time, it had
to increase its usual speed by 10 km/hr.
What is the usual speed of the car ?
SSC MTS 16/05/2023 (Morning)
(a) 40 km/hr (b) 60 km/hr
(c) 30 km/hr (d) 50 km/hr
Q.18. The speed of a train including
stoppages is 75 kmph and excluding
stoppages, the speed of the train is 90
kmph. For how many minutes does the
train stop per hour?
SSC CHSL 13/03/2023 (3rd Shift)
(a) 10 minutes (b) 15 minutes
(c) 20 minutes (d) 11 minutes
Q.19. A bus starts from a bus station
after every 30 minutes in the same
direction. The speed of each bus is the
same. Z is riding a bike in the opposite
direction at a speed of 25 km/h . Z meets
each bus in 20 minutes. What is the
speed of each bus ?
SSC MTS 19/07/2022 (Evening)
(a) 50 km/h (b) 75 km/h
(c) 30 km/h (d) 60 km/h
Q.20. A person goes from P to Q at a
speed of 20 km/h.Then he goes from Q
to R at a speed of q km/h. Finally the
person goes from R to S at a speed of r
km/h. The distances from P to Q, Q to R
and R to S are equal. If the average speed
from P to R is km/h and the
280
11
average speed from Q to S is km/h,
112
3
then what is the value of r ?
SSC MTS 14/07/2022 (Morning)
(a) 40 (b) 37.5 (c) 42.5 (d) 45
Q.21. A man had to travel 49 km, which
he divided into six stretches which were
exact multiples of either 4 km or 5 km.
The ?rst four stretches were 4 km, 5 km,
8 km, and 10 km. Multiples of 4 km and 5
km were travelled at the rates of 40 and
60 km/h, respectively, and between two
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Pinnacle Day: 60th - 63rd Time Speed and Distance
consecutive stretches, he rested for six
minutes. What was his average speed (in
km/h) for the whole journey?
SSC MTS 18/10/2021 (Evening)
(a) 31 (b) 32 (c) 33 (d) 34
7
11
4
13
3
8
4
15
Q.22. A takes 2 hours more than B to
cover a distance of 40 km. If A doubles
his speed, he takes 1 hour more than B
1
2
to cover 80 km. To cover a distance of
120 km, how much time (in hours) will B
take travelling at his same speed?
SSC CGL 20/08/2021 (Morning)
(a) 1 (b) 1 (c) 1 (d) 1
1
3
2
3
1
4
1
2
Q.23. A train leaves station A at 8 am
and reaches station B at 12 noon. A car
leaves station B at 8:30 am and reaches
station A at the same time when the train
reaches station B. At what time do they
meet?
SSC CGL 16/08/2021 (Afternoon)
(a) 9 : 38 am (b) 10 : 22 am
(c) 10 : 08 am (d) 9 : 52 am
Q.24. X and Y start at the same time to
ride from place A to place B, which is
80km away from A. X travels 4 km/hour
slower than Y.Y reaches place B and at
once turns back meeting X, 16 km from
place B. Y’s speed(in km/h) is:
SSC CHSL 04/08/2021 (Evening)
(a) 9 (b) 15 (c) 8 (d) 12
Q.25. Vaibhav and Vignesh each travel a
distance of 78 km such that the speed of
Vaibhav is faster than that of Vignesh.
The sum of their speeds is 91 kmph and
the total time taken by both is 3 hours
and 30 minutes. The speed (Km/h) of
Vaibhav is:
SSC CHSL 15/04/2021 (Evening)
(a) 48 (b) 45 (c) 52 (d) 54
Q.26. Train A takes 1 hours more than
4
5
the time taken by train B to cover a
distance of 360 km. If the speed of train
A doubles, it will take 36 min less than
the time taken by train B to travel the
same distance. What is the speed of
train B ? (in kmph)
SSC CHSL 13/04/2021 (Afternoon)
(a) 96 (b) 100 (c) 90 (d) 120
Q.27. Two trains start at the same time
from two stations and proceed towards
each other at speeds of 90 km/h and 70
km /h , respectively. When they meet, it is
found that one train has travelled 140 km
more than the other. What is the distance
between the two stations? (in km)
SSC CHSL 12/04/2021 (Afternoon)
(a) 980 (b) 1100 (c) 1200 (d) 1120
Q.28. A person travels a distance of
300km and then returns to the starting
point. The time taken by him for the
outward journey is 5 hours more than the
time taken for the return journey. If he
returns at a speed of 10km/h more than
the speed of going, what is the average
speed (in km/h) for the entire journey ?
SSC CPO 23/11/2020 (Evening)
(a) 24 (b) 15 (c) 20 (d) 30
Q.29. A delivery boy started from his
o?ce at 10 a.m. to deliver an article. He
rode his scooter at a speed of 32 km/h.
He delivered the article and waited for 15
minutes to get the payment. After the
payment was made, he reached his o?ce
at 11 : 25 a.m., travelling at a speed of 24
km/h. Find the total distance travelled by
the boy.
SSC CGL Tier II (18/11/2020)
(a) 32 km (b) 30 km (c) 35 km (d) 40 km
Q.30. The distance between two railway
stations is 1176 km. To cover this
distance, an express train 5 hours less
than a passenger train while the average
speed of the passenger train is 70 km/h
less than that of the express train. The
time taken by the passenger train to
complete the travel is:
SSC CHSL 13/10/2020 (Morning)
(a) 18 (b) 17 (c) 23 (d) 12
Q.31. Two cars start from the same
place at the same time at right angles to
each other. Their speeds are 54 km/h
and 72 km/h, respectively. After 20
seconds, the distance between them will
be :
SSC CHSL 17/03/2020 (Evening)
(a) 480 m (b) 540 m (c) 720 m (d) 500 m
Q.32. X and Y are two stations which are
280 km apart. A train starts at a certain
time from X and travels towards Y at 60
km/h. After 2 hours, another train starts
from Y and travels towards X at 20 km/h.
After how many hours does the train
leaving from X meets the train which left
from Y ?
SSC CGL 09/03/2020 (Morning)
(a) 3 (b) 6 (c) 4 (d) 2
Q.33. A person travels a distance of 240
km, partly by train and the rest by bus. He
takes 3 hours if he travels 150 km by
1
2
train and the rest by bus. If he travels 140
km by bus and the rest by train, he takes
3 hours. What is the speed of the train
2
3
(in km/h) ?
SSC CPO 09/12/2019 (Evening)
(a) 72 (b) 75 (c) 80 (d) 70
Q.34. A person covers 40% of the
distance from A to B at 8 km/h, 40% of
the remaining distance at 9 km/h and the
rest at 12 km/h. His average speed (in
km/h) for the journey is :
SSC CGL Tier II (13/09/2019)
(a) 9 (b) 9 (c) 9 (d) 9
5
8
2
3
3
8
1
3
Q.35. Renu was sitting inside train A,
which was travelling at 50 km/h. Another
train, B, whose length was three times
the length of A crossed her in the
opposite direction in 15 seconds. If the
speed of train B was 58 km/h, then the
length of train A (in m) is :
SSC CGL Tier II (12/09/2019)
(a) 210 (b) 180 (c) 160 (d) 150
Q.36. A train runs 50% faster than a car.
Both start running from the same point
and meet after covering a distance of
360 km. In the middle of this journey, the
train stops for two hours due to some
faults in the engine. What is the speed of
the train ? (in km/h)
SSC MTS 16/08/2019 (Evening)
(a) 80 (b) 60 (c) 72 (d) 90
Q.37. A train goes from P to Q with a
speed km/h, then from Q to R (QR = µ
2PQ) with a speed 3 km/h, and returns µ
from R to P with a speed km/h. What
µ
2
is the average speed (in km/h) of the
train for the entire journey starting from P
and back to P?
SSC CHSL 11/07/2019 (Afternoon)
(a) (b) (c) (d)
18 µ
23
4 µ
3
16 µ
23
3 µ
2
Q.38. The platform of a station 400 m
long starts exactly where the last span of
a bridge 1.2 km long ends. How long(in
min.) will a train 200 m long and
travelling at the speed of 72 km/h take to
cover the distance between the starting
point of the span of the bridge and the
far end of the platform?
SSC CHSL 11/07/2019 (Morning)
(a) 1.6 (b) 1.5 (c) 1.8 (d) 1.2
Q.39. A 360 m long running at a uniform
speed, crosses a platform in 55 seconds
and a man standing on the platform in 24
seconds. What is the length (in metres)
of the platform?
SSC CHSL 03/07/2019 (Morning)
(a) 480 (b) 445 (c) 410 (d) 465
Q.40. Amit travelled from A to B at an
average speed of 80 km/h. He travelled
the ?rst 75% of the distance in two-third
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of the time and the rest at a constant
speed of x km/h. The value of x is:
SSC CHSL 02/07/2019 (Afternoon)
(a) 56 (b) 60 (c) 64 (d) 54
Q.41. A man travels a certain distance at
12km/h and returns to the starting point
at 9km/h. The total time taken by him for
the entire journey is 2 hours. The total
1
3
distance (In km) covered by him is:
SSC CHSL 01/07/2019 (Evening)
(a) 25 (b) 12 (c) 24 (d) 28
Q.42. The speed of train A is 25 km/h
more than the speed of train B. A takes 4
hours less time to travel a distance of 300
km than what train B takes to travel 250
km. What is the speed (In km/h) of A?
SSC CGL 10/06/2019 (Morning)
(a) 60 (b) 50 (c) 65 (d) 55
Q.43. A and B are travelling towards each
other from the points P and Q respectively.
After crossing each other A and B take
6 hours and 8 hours, respectively, to
1
8
reach their destinations Q and P ,
respectively. If the speed of B is 16.8 km/h
then the speed ( in km/h) of A is:
SSC CGL 06/06/2019 (Morning)
(a) 20.8 (b) 19.8 (c) 19.2 (d) 20.4
Q.44. A takes 30 minutes more than B to
cover a distance of 15 km at a certain
speed. But if A doubles his speed, he
takes one hour less than B to cover the
same distance. What is the speed (in
km/h) of B?
SSC CGL 04/06/2019 (Afternoon)
(a) 6 (b) 5 (c) 6 (d) 5
1
2
1
2
Q.45. The speed of a car increases by 2
km/h after every one hour. If the distance
travelled in the ?rst one hour was 35 km,
what was the total distance travelled in
12 hours?
SSC CPO 16/03/2019 (Evening)
(a) 560 (b) 650 (c) 558 (d) 552
Practice Questions
SSC CHSL 2023 Tier - 2
Q.46. A person covers of his journey
1
4
at the speed of 25 km/h, of the
1
2
journey at 40km/h and the remaining at
the speed of 50 km/h. Find his average
speed per hour for the whole journey (in
km/h).
SSC CHSL Tier II (02/11/2023)
(a) 34 (b) 36 (c) 36 (d) 34
6
11
4
11
6
11
4
11
SSC CGL 2023 Tier - 2
Q.47. Vipin travels one-third of the
distance of a journey at a speed of 30
km/h and the remaining distance at a
speed of 40 km/h. If he took a total of 12
hours to complete the journey, what was
the total distance (in km) of the journey?
SSC CGL Tier II (26/10/2023)
(a) 432 (b) 450 (c) 445 (d) 412
SSC CPO 2023 Tier - 1
Q.48. If a truck moves at a constant
speed of 30 km/h for 1 kilometer and 45
km/h for the next 1 kilometer. What is the
average speed of the truck?
SSC CPO 03/10/2023 (1st Shift)
(a) 36 km/h (b) 38 km/h
(c) 32 km/h (d) 34 km/h
Q.49. A tourist van travels the distance of
35 km from Dehradun to Mussoorie at an
average speed of 36 km/h and returns at
60 km/h. What is the approximate
average speed (in km/h) of the tourist
van for the entire journey?
SSC CPO 03/10/2023 (1st Shift)
(a) 45 (b) 48 (c) 50 (d) 42
Q.50. An inspector is 288 metres behind
a thief. The inspector runs 42 metres and
the thief runs 30 metres in a minute. In
how much time will the inspector catch
the thief ?
SSC CPO 04/10/2023 (1st Shift)
(a) 20 minutes (b) 24 minutes
(c) 19 minutes (d) 21 minutes
Q.51. A car, during its entire journey of 5
hours, travels the ?rst 45 minutes at a
certain speed, the next 75 minutes at a
speed of 85 km/h, and the last 3 hours at
a speed of 70 km/h. During its entire
journey, the average speed of the car is
found to be 73 km/h. What is the speed
(in km/h) of the car during the ?rst 45
minutes ?
SSC CPO 04/10/2023 (2nd Shift)
(a) 62 (b) 65 (c) 72 (d) 68
Q.52. Traveling a distance of 1000 km, a
train slowed down due to repairs of the
tracks. Its average speed for the trip
reduced by 75 km/h and the time of
travel increased by 3 hours. The original
duration of the travel is:
SSC CPO 04/10/2023 (2nd Shift)
(a) 5 hours (b) 6 hours
(c) 6.5 hours (d) 5.5 hours
Q.53. The time taken to travel the same
distance by three cars is in the ratio of 12
: 15 : 10. What is the ratio of the speeds
of the three cars ?
SSC CPO 04/10/2023 (2nd Shift)
(a) 4 : 5 : 6 (b) 5 : 4 : 6
(c) 5 : 6: 4 (d) 4 : 6 : 5
Q.54. Jimmy has to cover a distance of
88 km in 16 hours. If she covers half of
the journey in time, then what should
3
4
be her speed to cover the remaining
distance in the time left?
SSC CPO 04/10/2023 (3rd Shift)
(a) 12 km/h (b) 10 km/h
(c) 13 km/h (d) 11 km/h
Q.55. A vehicle is going at one-fourth of
its usual speed and it takes an extra 45
minutes to reach its destination. Its usual
time to cover the same distance is:
SSC CPO 04/10/2023 (3rd Shift)
(a) 20 minutes (b) 15 minutes
(c) 10 minutes (d) 30 minutes
Q.56. A boy goes from home to school at
a speed of 30 km/h and returns back at a
speed of 70 km/h. What is his average
speed for the journey ?
SSC CPO 05/10/2023 (1st Shift)
(a) 48 km/h (b) 38 km/h
(c) 42 km/h (d) 36 km/h
Q.57. At 7 : 30 P .M. the owner of a Cycle
noticed that a thief is taking away his
cycle from his home and is cycling in a
particular direction at an estimated
speed of 10 km per hour. He informed
the police about the theft and the
policeman started from the same point,
half an hour later than the time of the
theft but with a speed of 12 km per hour.
At what time will Policeman catch the
thief ?
SSC CPO 05/10/2023 (1st Shift)
(a) 10 : 00 PM. (b) 10 : 30 P .M.
(c) 10 : 45 P .M. (d) 9 : 30 P .M.
Q.58. Julle and Soma start from the
same point and walk in opposite
directions. Julie walks 4 km/h faster than
Soma. After 4 hours they are 40 km
apart. How fast did each walk?
SSC CPO 05/10/2023 (2nd Shift)
(a) Julle-7 km/h: Soma -3 km/h
(b) Julie-8 km/h; Soma-4 km/h
(c) Julle-9 km/h; Soma-5 km/h
(d) Julie 10 km/h; Soma-6 km/h
Q.59. A train of length 180 m takes 40
seconds to cross a tunnel of length 500
m. What is the speed of the train, in
km/h?
SSC CPO 05/10/2023 (2nd Shift)
(a) 80.5 (b) 52.5 (c) 61.2 (d) 71.2
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FAQs on SSC CGL Previous Year Questions (2023-18): Time Speed and Distance - SSC CGL Previous Year Papers
| 1. How to solve time, speed, and distance problems quickly? |  |
Ans. To solve time, speed, and distance problems quickly, you can use the formula: Speed = Distance/Time. Additionally, you can also use shortcuts like the concept of relative speed and converting units to simplify calculations.
| 2. What are some common mistakes to avoid while solving time, speed, and distance problems? | |
Ans. Some common mistakes to avoid while solving time, speed, and distance problems include not converting units properly, assuming constant speed when it's not specified, and overlooking the concept of relative speed in case of two moving objects.
| 3. How to calculate average speed in time, speed, and distance problems? | |
Ans. To calculate average speed in time, speed, and distance problems, you can use the formula: Average Speed = Total Distance/Total Time. This will give you the overall average speed for the entire journey.
| 4. What is the concept of relative speed in time, speed, and distance problems? | |
Ans. The concept of relative speed in time, speed, and distance problems refers to the effective speed at which two objects are approaching each other or moving in the same direction. It is calculated by taking the difference between the speeds of the two objects.
| 5. How to approach complex time, speed, and distance problems in SSC CGL exam? | |
Ans. To approach complex time, speed, and distance problems in the SSC CGL exam, break down the problem into smaller parts, use shortcuts and formulas effectively, and practice solving similar types of problems to improve your speed and accuracy.
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SSC CGL Previous Year Questions (2023-18): Time Speed and Distance SSC CGL
The "SSC CGL Previous Year Questions (2023-18): Time Speed and Distance SSC CGL Questions" guide is a valuable resource for all aspiring students preparing for the
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The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
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The content of SSC CGL Previous Year Questions (2023-18): Time Speed and Distance is prepared as per the latest SSC CGL syllabus.
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