Time, Speed and Distance | IAF AFCAT Past Year Papers PDF Download

 Page 1


B-38 Time, Speed and Distance
Time, Speed and
Distance
4
1. Two typists of varying skills can do a typing job in 6 minutes
if they work together. If the first typist typed alone for 4
minutes and then the second typist typed alone for 6 minutes,
they would be left with 1/5 of the whole work. How many
minutes would it take the slower typist to complete the typing
job working alone ? [2014-I]
(a) 10 minutes (b) 15 minutes
(c) 12 minutes (d) 20 minutes
2. A train covers a distance of 10 km in 12 minutes. If its speed
is decreased by 5 kmph, what is the time taken train to cover
the same distance ? [2014-II]
(a) 14 min. 33 sec (b) 13 min. 33 sec
(c) 13 min. 20 sec (d) 15 min. 20 sec
3. 'A' is thrice as good a workman as 'B' and takes 10 days less
to do a piece of work than 'B' takes. How many days will 'B'
take to complete if he works alone ? [2014-II]
(a) 21 days (b) 15 days
(c) 18 days (d) 24 days
4. 'A' and 'B' can do a piece of work in 30 days while 'B' and 'C'
can do the same work in 24 days and 'C' and 'A' in 20 days.
They all work for 10 days and 'B' and 'C' leave. How many
days more will 'A' take to finish the work ? [2014-II]
(a) 12 days (b) 18 days
(c) 20 days (d) 22 days
5. A train is moving at a speed of 132 kmph. If the length of the
train is 110 meters, how long will it take to cross a railway
platform 165 m long ? [2014-II]
(a) 6.0 secs (b) 7.5 secs
(c) 7.0 secs (d) 8.5 secs
6. Two pipes 'A' and 'B' can fill a tank in 20 and 30 minutes
respectively. If both the pipes are used together, then how
long are will it take to fill the tank ? [2014-II]
(a) 12 Min (b) 15 Min
(c) 25 Min (d) 50 Min
7. Speed of a boat in still water is 9 kmph and the speed of the
stream is 1.5 kmph. A man rows to a place at a distance of
105 kms and comes back to the starting point. What will be
the total time taken by him ? [2014-II]
(a) 16 Hrs (b) 18 Hrs
(c) 24 Hrs (d) 28 Hrs
8. A man can row 
1
9
3
 Kmph in still water and finds that it
takes him thrice as much time to row up than as to row down
the same distance in the river. The speed of the current is
[2015-I]
(a)
1
3
3
 Kmph (b)
1
3
9
 Kmph
(c)
2
4
3
 Kmph (d)
1
4
3
 Kmph
9. The speed of a boat in still water is 10 Kmph. If it can travel
26 Km downstream and 14 Km upstream in the same time,
the speed of the stream is [2015-I]
(a) 2 Kmph (b) 2.5 Kmph
(c) 3 Kmph (d) 4 Kmph
10. A man travelled from a point A to  B at the rate of 25 Kmph
and walked back at the rate of 4 Kmph. If the whole journey
took 5 hrs 48 minutes, the distance between A and B is
[2015-I]
(a) 3 0 km (b) 2 4 km
(c) 2 0 km (d) 51 .6 km
11. A train travelling at a  uniform speed clears a platform 200 m
long in 10 seconds and passes a telegraph post in 5 seconds.
The speed of the train is [2015-I]
(a) 36 km/h (b) 144 km/h
(c) 72 km/h (d) 78 km/h
12. A and B can do a piece of work in 18 days; B and C can do
it in 24 days, A and C can do it in 36 days. In how many days
B alone can finish the work? [2015-I]
(a) 48 days (b) 45 days
(c)
4
28
5
 days (d) 144 days
13. A train covers a distance of 12 km in 10 min. If it takes 6 sec
to pass a telegraph post, the length of the train is [2015-II]
(a) 9 0 m (b) 100 m
(c) 120 m (d) 140 m
14. A train can travel 50% faster than a car. Both start from point
A at the same time and reach point B 75 kms away from A at
the same time. On the way , however, the train lost about 12.5
minutes while stopping at the stations. The speed of the car
is: [2015-II]
(a) 100 Kmph (b) 110 Kmph
(c) 120 Kmph (d) 130 Kmph
15. A boatman goes 2 km against the current of the stream in 1
hour and goes 1 km along the current in 10 minutes. How
long will it take to go 5 km in stationary water? [2015-II]
(a) 40 minutes (b) 10 hour
(c) 1 hr 15 min (d) 1 hr 30 min
16. A steamer moves with a speed of 4.5 km/h in still water to a
certain upstream point and comes back to the starting point
in a river which flows at 1.5 km/h. The average speed of
steamer for the total journey is [2015-II]
(a) 12 km/h (b) 9 km/h
(c) 6 km/h (d) 4 km/h
17. A train 150 m long is running with a speed of 68 km/h. In
what time will it pass a man who is running at 8 km/ h in the
same direction in which the train is going? [2016-I]
(a) 8 sec (b) 8.5 sec
(c) 9 sec (d) 9.5 sec
Page 2


B-38 Time, Speed and Distance
Time, Speed and
Distance
4
1. Two typists of varying skills can do a typing job in 6 minutes
if they work together. If the first typist typed alone for 4
minutes and then the second typist typed alone for 6 minutes,
they would be left with 1/5 of the whole work. How many
minutes would it take the slower typist to complete the typing
job working alone ? [2014-I]
(a) 10 minutes (b) 15 minutes
(c) 12 minutes (d) 20 minutes
2. A train covers a distance of 10 km in 12 minutes. If its speed
is decreased by 5 kmph, what is the time taken train to cover
the same distance ? [2014-II]
(a) 14 min. 33 sec (b) 13 min. 33 sec
(c) 13 min. 20 sec (d) 15 min. 20 sec
3. 'A' is thrice as good a workman as 'B' and takes 10 days less
to do a piece of work than 'B' takes. How many days will 'B'
take to complete if he works alone ? [2014-II]
(a) 21 days (b) 15 days
(c) 18 days (d) 24 days
4. 'A' and 'B' can do a piece of work in 30 days while 'B' and 'C'
can do the same work in 24 days and 'C' and 'A' in 20 days.
They all work for 10 days and 'B' and 'C' leave. How many
days more will 'A' take to finish the work ? [2014-II]
(a) 12 days (b) 18 days
(c) 20 days (d) 22 days
5. A train is moving at a speed of 132 kmph. If the length of the
train is 110 meters, how long will it take to cross a railway
platform 165 m long ? [2014-II]
(a) 6.0 secs (b) 7.5 secs
(c) 7.0 secs (d) 8.5 secs
6. Two pipes 'A' and 'B' can fill a tank in 20 and 30 minutes
respectively. If both the pipes are used together, then how
long are will it take to fill the tank ? [2014-II]
(a) 12 Min (b) 15 Min
(c) 25 Min (d) 50 Min
7. Speed of a boat in still water is 9 kmph and the speed of the
stream is 1.5 kmph. A man rows to a place at a distance of
105 kms and comes back to the starting point. What will be
the total time taken by him ? [2014-II]
(a) 16 Hrs (b) 18 Hrs
(c) 24 Hrs (d) 28 Hrs
8. A man can row 
1
9
3
 Kmph in still water and finds that it
takes him thrice as much time to row up than as to row down
the same distance in the river. The speed of the current is
[2015-I]
(a)
1
3
3
 Kmph (b)
1
3
9
 Kmph
(c)
2
4
3
 Kmph (d)
1
4
3
 Kmph
9. The speed of a boat in still water is 10 Kmph. If it can travel
26 Km downstream and 14 Km upstream in the same time,
the speed of the stream is [2015-I]
(a) 2 Kmph (b) 2.5 Kmph
(c) 3 Kmph (d) 4 Kmph
10. A man travelled from a point A to  B at the rate of 25 Kmph
and walked back at the rate of 4 Kmph. If the whole journey
took 5 hrs 48 minutes, the distance between A and B is
[2015-I]
(a) 3 0 km (b) 2 4 km
(c) 2 0 km (d) 51 .6 km
11. A train travelling at a  uniform speed clears a platform 200 m
long in 10 seconds and passes a telegraph post in 5 seconds.
The speed of the train is [2015-I]
(a) 36 km/h (b) 144 km/h
(c) 72 km/h (d) 78 km/h
12. A and B can do a piece of work in 18 days; B and C can do
it in 24 days, A and C can do it in 36 days. In how many days
B alone can finish the work? [2015-I]
(a) 48 days (b) 45 days
(c)
4
28
5
 days (d) 144 days
13. A train covers a distance of 12 km in 10 min. If it takes 6 sec
to pass a telegraph post, the length of the train is [2015-II]
(a) 9 0 m (b) 100 m
(c) 120 m (d) 140 m
14. A train can travel 50% faster than a car. Both start from point
A at the same time and reach point B 75 kms away from A at
the same time. On the way , however, the train lost about 12.5
minutes while stopping at the stations. The speed of the car
is: [2015-II]
(a) 100 Kmph (b) 110 Kmph
(c) 120 Kmph (d) 130 Kmph
15. A boatman goes 2 km against the current of the stream in 1
hour and goes 1 km along the current in 10 minutes. How
long will it take to go 5 km in stationary water? [2015-II]
(a) 40 minutes (b) 10 hour
(c) 1 hr 15 min (d) 1 hr 30 min
16. A steamer moves with a speed of 4.5 km/h in still water to a
certain upstream point and comes back to the starting point
in a river which flows at 1.5 km/h. The average speed of
steamer for the total journey is [2015-II]
(a) 12 km/h (b) 9 km/h
(c) 6 km/h (d) 4 km/h
17. A train 150 m long is running with a speed of 68 km/h. In
what time will it pass a man who is running at 8 km/ h in the
same direction in which the train is going? [2016-I]
(a) 8 sec (b) 8.5 sec
(c) 9 sec (d) 9.5 sec
Time, Speed and Distance
18. A worker may claim ` 1.5 for each km which he travels by
taxi and 50 paise for each km he drives his own car. If in one
week he claimed ` 50 for travelling 80 km, how many kms did
he travel by taxi? [2016 - II]
(a) 2 0 km (b) 1 4 km
(c) 1 2 km (d) 1 0 km
19. A man rows upstream a distance of 9 km or downstream a
distance of 18 km taking 3 hours each time. The speed of the
boat in still water is [2016 - II]
(a)
1
7
2
 km/h (b)
1
6
2
 km/h
(c)
1
5
2
 km/h (d)
1
4
2
 km/h
20. A man can row 30 km upstream and 44 km downstream in   10
hours. He can also row 40 km upstream and 55 km
downstream in 13 hours. Find the rate of current,  [2016 - II]
(a) 3 km/h (b) 2 km/h
(c) 4 km/h (d) 5 km/h
21.    Two trains travel in opposite directions at 36 km/h and 45
km/h respectively. A man sitting in slower train passes the
faster train in 8 seconds. The length of the faster train is
[2016 - II]
(a) 8 0 m (b) 120 m
(c) 160 m (d) 180 m
22. A train 110 metres long is running with a speed of 60 km/h.
In what time will it pass a man who is running at 6 km/h in
the direction opposite to that of train? [2016 - II]
(a) 5 sec (b) 6 sec
(c) 7 sec (d) 10 sec
23. A man rows 1 km in 10 minutes, along the stream and 1km in
20 minutes against the stream. The speed of the stream is
[2017 - I]
(a) 1 km/hr (b) 1.5 km/hr
(c) 3 km/hr (d) 2.5 km/hr
24. The speed of a boat in standing water is 8 km/hr and the
speed of the stream is 2km/hr. If boat takes 3hr 12 minutes to
a place and come back, then what is the distance?
[2017 - I]
(a) 1 4 km (b) 1 0 km
(c) 24 km (d) 1 2 km
25. A train 110m long running at the speed of 60km/hr, how long
it will take to cross a man running in the opposite direction
at the speed if 10km/hr. [2017 - I]
(a) 6 seconds (b) 8 seconds
(c) 12 seconds (d) 10 seconds
26. A man whose speed is 4.5 kmph in still water rows to a
certain upstream point and back to the starting point in a
river which flows at 1.5 kmph, find his average speed for the
total journey? [2017 - II]
(a) 8 kmph (b) 4 kmph
(c) 2 kmph (d) 10 kmph
27. A train moving at a cover a rate of 90 kmph. Crosses a tunnel
in 36 seconds. and other train which is 100 metres shorter
moving at a cover a rate of 45 kmph. How much time will it
take to go through the tunnel? [2017 - II]
(a) 54 seconds (b) 64 seconds
(c) 50 seconds (d) 58 seconds
28. A train passes a man standing on a platform in 10 sec. and
passes the platform in 22 sec. completely . If the platform is
150 meters long, how long is the train? [2017 - II]
(a) 12 5 m (b) 115 m
(c) 135 m (d) 145 m
29. On a journey across Kolkata, a taxi averages 50 km per hour
for 50% of the distance. 40 km per hour for 40% of it and 20
km per hour for the remaining. The average speed in km/
hour, for the whole journey is :     [2018 - I]
(a) 42 (b) 40 (c) 35 (d) 4 5
30. Two trains 108 m and 112 m in length are running towards
each other on the parallel lines at a speed of 45 km/hr and 54
km/hr respectively. To cross each other after they meet, it
will take     [2018 - I]
(a) 10 sec (b) 12 sec (c) 9 sec (d) 8 sec
31. A boat goes 15 km upstream and 
1
10 km
2
 downstream in 3
hours 15 minutes. It goes 12 km upstream and 14 km
downstream in 3 hours. What is the speed of the boat in still
water?     [2018 - I]
(a)4 (b) 6 (c) 10 (d) 14
32. A bus started its journey from Pune and reached Mumbai in
44 minutes at its average speed of 50 km/hr. If the average
speed of the bus is increased by 5km/hour, how much time
will it take to cover the same distance? [2018 - II]
(a) 40 minutes (b) 38minutes
(c) 36 minutes (d) 31minutes
33. Car A is travelling at 60 kmph towards northwest creating an
angle 42
0
 to north and Car B is travelling towards South
West at 80 kmph creating an angle 48
0
 degree to South. Both
are started from same point. Find distance between A and B
after one hour? [2019-I]
(a) 10 0 km (b) 12 0 km
(c) 15 0 km (d) 9 0 km
34. Difference between two stations X and Y is 500 km one train
starting from X move toward Y with 20 km/h and another
train move toward X from Y with the speed 30km/h. What is
the distance of the point where both train cross each other
from point X. [2019-I]
(a) 40 0 km (b) 20 0 km
(c) 30 0 km (d) 10 0 km
35. Gabbar kidnapped Basanti and placed him a tunnel which
has a length of 500 m. He tied her from 200 m distance from
rarer side. V eeru heroically saved Basanti and at the same
time a train was approaching the tunnel. They ran at a speed
of 10m/s to the nearer end and missed the collision very
closely . Find the speed of the train (in km/hr). [2019 - II]
( a) 25 (b) 7 0
(c) 90 (d) 8 0
36. A boat takes 22 hours to go downstream from point A to
point B then to point C (which is midway between A and B),
find the distance between A and B if speed of boat in still
water is 16 km/hr and that of stream is 4 km/hr ? [2019 - II]
(a) 20 0 km (b) 12 0 km
(c) 24 0 km (d) None of these
Page 3


B-38 Time, Speed and Distance
Time, Speed and
Distance
4
1. Two typists of varying skills can do a typing job in 6 minutes
if they work together. If the first typist typed alone for 4
minutes and then the second typist typed alone for 6 minutes,
they would be left with 1/5 of the whole work. How many
minutes would it take the slower typist to complete the typing
job working alone ? [2014-I]
(a) 10 minutes (b) 15 minutes
(c) 12 minutes (d) 20 minutes
2. A train covers a distance of 10 km in 12 minutes. If its speed
is decreased by 5 kmph, what is the time taken train to cover
the same distance ? [2014-II]
(a) 14 min. 33 sec (b) 13 min. 33 sec
(c) 13 min. 20 sec (d) 15 min. 20 sec
3. 'A' is thrice as good a workman as 'B' and takes 10 days less
to do a piece of work than 'B' takes. How many days will 'B'
take to complete if he works alone ? [2014-II]
(a) 21 days (b) 15 days
(c) 18 days (d) 24 days
4. 'A' and 'B' can do a piece of work in 30 days while 'B' and 'C'
can do the same work in 24 days and 'C' and 'A' in 20 days.
They all work for 10 days and 'B' and 'C' leave. How many
days more will 'A' take to finish the work ? [2014-II]
(a) 12 days (b) 18 days
(c) 20 days (d) 22 days
5. A train is moving at a speed of 132 kmph. If the length of the
train is 110 meters, how long will it take to cross a railway
platform 165 m long ? [2014-II]
(a) 6.0 secs (b) 7.5 secs
(c) 7.0 secs (d) 8.5 secs
6. Two pipes 'A' and 'B' can fill a tank in 20 and 30 minutes
respectively. If both the pipes are used together, then how
long are will it take to fill the tank ? [2014-II]
(a) 12 Min (b) 15 Min
(c) 25 Min (d) 50 Min
7. Speed of a boat in still water is 9 kmph and the speed of the
stream is 1.5 kmph. A man rows to a place at a distance of
105 kms and comes back to the starting point. What will be
the total time taken by him ? [2014-II]
(a) 16 Hrs (b) 18 Hrs
(c) 24 Hrs (d) 28 Hrs
8. A man can row 
1
9
3
 Kmph in still water and finds that it
takes him thrice as much time to row up than as to row down
the same distance in the river. The speed of the current is
[2015-I]
(a)
1
3
3
 Kmph (b)
1
3
9
 Kmph
(c)
2
4
3
 Kmph (d)
1
4
3
 Kmph
9. The speed of a boat in still water is 10 Kmph. If it can travel
26 Km downstream and 14 Km upstream in the same time,
the speed of the stream is [2015-I]
(a) 2 Kmph (b) 2.5 Kmph
(c) 3 Kmph (d) 4 Kmph
10. A man travelled from a point A to  B at the rate of 25 Kmph
and walked back at the rate of 4 Kmph. If the whole journey
took 5 hrs 48 minutes, the distance between A and B is
[2015-I]
(a) 3 0 km (b) 2 4 km
(c) 2 0 km (d) 51 .6 km
11. A train travelling at a  uniform speed clears a platform 200 m
long in 10 seconds and passes a telegraph post in 5 seconds.
The speed of the train is [2015-I]
(a) 36 km/h (b) 144 km/h
(c) 72 km/h (d) 78 km/h
12. A and B can do a piece of work in 18 days; B and C can do
it in 24 days, A and C can do it in 36 days. In how many days
B alone can finish the work? [2015-I]
(a) 48 days (b) 45 days
(c)
4
28
5
 days (d) 144 days
13. A train covers a distance of 12 km in 10 min. If it takes 6 sec
to pass a telegraph post, the length of the train is [2015-II]
(a) 9 0 m (b) 100 m
(c) 120 m (d) 140 m
14. A train can travel 50% faster than a car. Both start from point
A at the same time and reach point B 75 kms away from A at
the same time. On the way , however, the train lost about 12.5
minutes while stopping at the stations. The speed of the car
is: [2015-II]
(a) 100 Kmph (b) 110 Kmph
(c) 120 Kmph (d) 130 Kmph
15. A boatman goes 2 km against the current of the stream in 1
hour and goes 1 km along the current in 10 minutes. How
long will it take to go 5 km in stationary water? [2015-II]
(a) 40 minutes (b) 10 hour
(c) 1 hr 15 min (d) 1 hr 30 min
16. A steamer moves with a speed of 4.5 km/h in still water to a
certain upstream point and comes back to the starting point
in a river which flows at 1.5 km/h. The average speed of
steamer for the total journey is [2015-II]
(a) 12 km/h (b) 9 km/h
(c) 6 km/h (d) 4 km/h
17. A train 150 m long is running with a speed of 68 km/h. In
what time will it pass a man who is running at 8 km/ h in the
same direction in which the train is going? [2016-I]
(a) 8 sec (b) 8.5 sec
(c) 9 sec (d) 9.5 sec
Time, Speed and Distance
18. A worker may claim ` 1.5 for each km which he travels by
taxi and 50 paise for each km he drives his own car. If in one
week he claimed ` 50 for travelling 80 km, how many kms did
he travel by taxi? [2016 - II]
(a) 2 0 km (b) 1 4 km
(c) 1 2 km (d) 1 0 km
19. A man rows upstream a distance of 9 km or downstream a
distance of 18 km taking 3 hours each time. The speed of the
boat in still water is [2016 - II]
(a)
1
7
2
 km/h (b)
1
6
2
 km/h
(c)
1
5
2
 km/h (d)
1
4
2
 km/h
20. A man can row 30 km upstream and 44 km downstream in   10
hours. He can also row 40 km upstream and 55 km
downstream in 13 hours. Find the rate of current,  [2016 - II]
(a) 3 km/h (b) 2 km/h
(c) 4 km/h (d) 5 km/h
21.    Two trains travel in opposite directions at 36 km/h and 45
km/h respectively. A man sitting in slower train passes the
faster train in 8 seconds. The length of the faster train is
[2016 - II]
(a) 8 0 m (b) 120 m
(c) 160 m (d) 180 m
22. A train 110 metres long is running with a speed of 60 km/h.
In what time will it pass a man who is running at 6 km/h in
the direction opposite to that of train? [2016 - II]
(a) 5 sec (b) 6 sec
(c) 7 sec (d) 10 sec
23. A man rows 1 km in 10 minutes, along the stream and 1km in
20 minutes against the stream. The speed of the stream is
[2017 - I]
(a) 1 km/hr (b) 1.5 km/hr
(c) 3 km/hr (d) 2.5 km/hr
24. The speed of a boat in standing water is 8 km/hr and the
speed of the stream is 2km/hr. If boat takes 3hr 12 minutes to
a place and come back, then what is the distance?
[2017 - I]
(a) 1 4 km (b) 1 0 km
(c) 24 km (d) 1 2 km
25. A train 110m long running at the speed of 60km/hr, how long
it will take to cross a man running in the opposite direction
at the speed if 10km/hr. [2017 - I]
(a) 6 seconds (b) 8 seconds
(c) 12 seconds (d) 10 seconds
26. A man whose speed is 4.5 kmph in still water rows to a
certain upstream point and back to the starting point in a
river which flows at 1.5 kmph, find his average speed for the
total journey? [2017 - II]
(a) 8 kmph (b) 4 kmph
(c) 2 kmph (d) 10 kmph
27. A train moving at a cover a rate of 90 kmph. Crosses a tunnel
in 36 seconds. and other train which is 100 metres shorter
moving at a cover a rate of 45 kmph. How much time will it
take to go through the tunnel? [2017 - II]
(a) 54 seconds (b) 64 seconds
(c) 50 seconds (d) 58 seconds
28. A train passes a man standing on a platform in 10 sec. and
passes the platform in 22 sec. completely . If the platform is
150 meters long, how long is the train? [2017 - II]
(a) 12 5 m (b) 115 m
(c) 135 m (d) 145 m
29. On a journey across Kolkata, a taxi averages 50 km per hour
for 50% of the distance. 40 km per hour for 40% of it and 20
km per hour for the remaining. The average speed in km/
hour, for the whole journey is :     [2018 - I]
(a) 42 (b) 40 (c) 35 (d) 4 5
30. Two trains 108 m and 112 m in length are running towards
each other on the parallel lines at a speed of 45 km/hr and 54
km/hr respectively. To cross each other after they meet, it
will take     [2018 - I]
(a) 10 sec (b) 12 sec (c) 9 sec (d) 8 sec
31. A boat goes 15 km upstream and 
1
10 km
2
 downstream in 3
hours 15 minutes. It goes 12 km upstream and 14 km
downstream in 3 hours. What is the speed of the boat in still
water?     [2018 - I]
(a)4 (b) 6 (c) 10 (d) 14
32. A bus started its journey from Pune and reached Mumbai in
44 minutes at its average speed of 50 km/hr. If the average
speed of the bus is increased by 5km/hour, how much time
will it take to cover the same distance? [2018 - II]
(a) 40 minutes (b) 38minutes
(c) 36 minutes (d) 31minutes
33. Car A is travelling at 60 kmph towards northwest creating an
angle 42
0
 to north and Car B is travelling towards South
West at 80 kmph creating an angle 48
0
 degree to South. Both
are started from same point. Find distance between A and B
after one hour? [2019-I]
(a) 10 0 km (b) 12 0 km
(c) 15 0 km (d) 9 0 km
34. Difference between two stations X and Y is 500 km one train
starting from X move toward Y with 20 km/h and another
train move toward X from Y with the speed 30km/h. What is
the distance of the point where both train cross each other
from point X. [2019-I]
(a) 40 0 km (b) 20 0 km
(c) 30 0 km (d) 10 0 km
35. Gabbar kidnapped Basanti and placed him a tunnel which
has a length of 500 m. He tied her from 200 m distance from
rarer side. V eeru heroically saved Basanti and at the same
time a train was approaching the tunnel. They ran at a speed
of 10m/s to the nearer end and missed the collision very
closely . Find the speed of the train (in km/hr). [2019 - II]
( a) 25 (b) 7 0
(c) 90 (d) 8 0
36. A boat takes 22 hours to go downstream from point A to
point B then to point C (which is midway between A and B),
find the distance between A and B if speed of boat in still
water is 16 km/hr and that of stream is 4 km/hr ? [2019 - II]
(a) 20 0 km (b) 12 0 km
(c) 24 0 km (d) None of these
Time, Speed and Distance
37. Alok’s office is 100 km from his home. Once he started late
from his home by 1 hour. He increased his speed by 5kph
and reached office on time, find his changed speed.
[2019 - II]
(a) 18 kmph (b) 20 kmph
(c) 24 kmph (d) None of these
38. A man daily goes to temple which is 4km away from his
home at a speed of 4kph. Once he decided to take his dog
with him . The dog  reached the temple and returned back to
his owner then turn back again and ran towards temple, this
goes on and on. Find the distance covered by dog in the
direction of temple if the speed of dog is 8kph. [2019 - II]
(a) 5.5 km (b) 6 km
(c) 6.5 km (d) None of these
39. A train has 7 compartments and two compartments have
not same number of passengers. Average number of
passengers is 15. And no compartment has number of
passengers more than the average number of passenger.
except compartments 7th. Find the least number of
passengers in 7th compartment. [2019 - II]
( a) 30 (b) 3 2
(c) 35 (d) None of these
40. Two trains start towards each other at same time with speeds
50kmph and 60kmph, a bird perched first train and starting
from first train it went to second train and came back to first
train it went back to second train. The distance between
trains was 220km and speed of bird was 80kmph what is the
total distance travelled by bird? [2019 - II]
(a) 16 0 km
(b) 18 0 km
(c) 14 0 km
(d) None of these
41. If a person rows a boat at the speed of 8kmph and the speed
of stream is 1.4 kmph then it takes 2 hrs to reach somewhere
and coming back. If he increased his speed by 25percent
how will time be affected? [2019 - II]
(a) 21 % increase
(b) 21 % decrease
(c) 18 % increase
(d) None of these
42. A man complete a journey in 10 hours. He travels first half of
the journey at the rate of 21 km/hr and second half at the rate
of 24 km/hr. Find the total journey (in km). [2020 - I]
(a) 2 20 km (b) 2 24 km
(c) 2 45 km (d) 2 78 km
43. Two trains running in opposite directions cross a man
standing on the platform in 27 seconds and 17 seconds
respectively and they cross each other in 23 seconds. The
ratio of their speeds is? [2020 - I]
(a) 1 :3 (b) 3:2
(c) 2 :3 (d) None of these
ANSWERS & EXPLANATIONS
1. (b) Let first complete the job in x minutes
Second complete the job in y minutes
\
111
6 xy
+=
...(1)
and 
4 6 14
1
55 xy
+ = -=
...(2)
By (1) and (2)
x = 10, y = 15
Hence slower typist complete the jobs in 15 minutes.
2. (c) Speed of train = 
10km
50km/h
12/60 h
=
Speed is decreased by 5 kmph then new Speed of the
train will be 45 kmph
Time taken to cover 10 km, 
102
th
459
==
Time taken = 13min. 20 sec
3. (b) Let A finish the work in x days
B finish same work in 3 x days
3x – x = 10 Þ x = 5 days
B finish the work in 3×5 = 15 days
4. (b) Let A,B and C individualy complete the work in x,y and
z days respectively.
1 11
30 xy
+=
...(1)
1 11
24 yz
+=
...(2)
1 11
20 zx
+= ...(3)
adding equ (1) , (2) and (3)
1 11 1 1 11 1
2
8 16 x yz x yz
æö
++ = Þ ++ =
ç÷
èø
...(4)
A,B and C together complete the work in 16 days.
In 10 days they completed 
105
Part
168
=
Remaining work = 1–
53
88
=
Subtracting equ (2) from (4)
we get, 
11
or x 48
48 x
==
A alone can finish the Remaining work in
3
48 18days
8
´=
5. (b) Speed of train = 132 kmph = 132 ×
5
18
m/s = 
110
3
 m/s
Total distance = 110m + 165m = 275m
Time taken to cover the distance = 
275ms
110m
 = 7.5s.
275
3
110
´
= 7.5 sec.
Page 4


B-38 Time, Speed and Distance
Time, Speed and
Distance
4
1. Two typists of varying skills can do a typing job in 6 minutes
if they work together. If the first typist typed alone for 4
minutes and then the second typist typed alone for 6 minutes,
they would be left with 1/5 of the whole work. How many
minutes would it take the slower typist to complete the typing
job working alone ? [2014-I]
(a) 10 minutes (b) 15 minutes
(c) 12 minutes (d) 20 minutes
2. A train covers a distance of 10 km in 12 minutes. If its speed
is decreased by 5 kmph, what is the time taken train to cover
the same distance ? [2014-II]
(a) 14 min. 33 sec (b) 13 min. 33 sec
(c) 13 min. 20 sec (d) 15 min. 20 sec
3. 'A' is thrice as good a workman as 'B' and takes 10 days less
to do a piece of work than 'B' takes. How many days will 'B'
take to complete if he works alone ? [2014-II]
(a) 21 days (b) 15 days
(c) 18 days (d) 24 days
4. 'A' and 'B' can do a piece of work in 30 days while 'B' and 'C'
can do the same work in 24 days and 'C' and 'A' in 20 days.
They all work for 10 days and 'B' and 'C' leave. How many
days more will 'A' take to finish the work ? [2014-II]
(a) 12 days (b) 18 days
(c) 20 days (d) 22 days
5. A train is moving at a speed of 132 kmph. If the length of the
train is 110 meters, how long will it take to cross a railway
platform 165 m long ? [2014-II]
(a) 6.0 secs (b) 7.5 secs
(c) 7.0 secs (d) 8.5 secs
6. Two pipes 'A' and 'B' can fill a tank in 20 and 30 minutes
respectively. If both the pipes are used together, then how
long are will it take to fill the tank ? [2014-II]
(a) 12 Min (b) 15 Min
(c) 25 Min (d) 50 Min
7. Speed of a boat in still water is 9 kmph and the speed of the
stream is 1.5 kmph. A man rows to a place at a distance of
105 kms and comes back to the starting point. What will be
the total time taken by him ? [2014-II]
(a) 16 Hrs (b) 18 Hrs
(c) 24 Hrs (d) 28 Hrs
8. A man can row 
1
9
3
 Kmph in still water and finds that it
takes him thrice as much time to row up than as to row down
the same distance in the river. The speed of the current is
[2015-I]
(a)
1
3
3
 Kmph (b)
1
3
9
 Kmph
(c)
2
4
3
 Kmph (d)
1
4
3
 Kmph
9. The speed of a boat in still water is 10 Kmph. If it can travel
26 Km downstream and 14 Km upstream in the same time,
the speed of the stream is [2015-I]
(a) 2 Kmph (b) 2.5 Kmph
(c) 3 Kmph (d) 4 Kmph
10. A man travelled from a point A to  B at the rate of 25 Kmph
and walked back at the rate of 4 Kmph. If the whole journey
took 5 hrs 48 minutes, the distance between A and B is
[2015-I]
(a) 3 0 km (b) 2 4 km
(c) 2 0 km (d) 51 .6 km
11. A train travelling at a  uniform speed clears a platform 200 m
long in 10 seconds and passes a telegraph post in 5 seconds.
The speed of the train is [2015-I]
(a) 36 km/h (b) 144 km/h
(c) 72 km/h (d) 78 km/h
12. A and B can do a piece of work in 18 days; B and C can do
it in 24 days, A and C can do it in 36 days. In how many days
B alone can finish the work? [2015-I]
(a) 48 days (b) 45 days
(c)
4
28
5
 days (d) 144 days
13. A train covers a distance of 12 km in 10 min. If it takes 6 sec
to pass a telegraph post, the length of the train is [2015-II]
(a) 9 0 m (b) 100 m
(c) 120 m (d) 140 m
14. A train can travel 50% faster than a car. Both start from point
A at the same time and reach point B 75 kms away from A at
the same time. On the way , however, the train lost about 12.5
minutes while stopping at the stations. The speed of the car
is: [2015-II]
(a) 100 Kmph (b) 110 Kmph
(c) 120 Kmph (d) 130 Kmph
15. A boatman goes 2 km against the current of the stream in 1
hour and goes 1 km along the current in 10 minutes. How
long will it take to go 5 km in stationary water? [2015-II]
(a) 40 minutes (b) 10 hour
(c) 1 hr 15 min (d) 1 hr 30 min
16. A steamer moves with a speed of 4.5 km/h in still water to a
certain upstream point and comes back to the starting point
in a river which flows at 1.5 km/h. The average speed of
steamer for the total journey is [2015-II]
(a) 12 km/h (b) 9 km/h
(c) 6 km/h (d) 4 km/h
17. A train 150 m long is running with a speed of 68 km/h. In
what time will it pass a man who is running at 8 km/ h in the
same direction in which the train is going? [2016-I]
(a) 8 sec (b) 8.5 sec
(c) 9 sec (d) 9.5 sec
Time, Speed and Distance
18. A worker may claim ` 1.5 for each km which he travels by
taxi and 50 paise for each km he drives his own car. If in one
week he claimed ` 50 for travelling 80 km, how many kms did
he travel by taxi? [2016 - II]
(a) 2 0 km (b) 1 4 km
(c) 1 2 km (d) 1 0 km
19. A man rows upstream a distance of 9 km or downstream a
distance of 18 km taking 3 hours each time. The speed of the
boat in still water is [2016 - II]
(a)
1
7
2
 km/h (b)
1
6
2
 km/h
(c)
1
5
2
 km/h (d)
1
4
2
 km/h
20. A man can row 30 km upstream and 44 km downstream in   10
hours. He can also row 40 km upstream and 55 km
downstream in 13 hours. Find the rate of current,  [2016 - II]
(a) 3 km/h (b) 2 km/h
(c) 4 km/h (d) 5 km/h
21.    Two trains travel in opposite directions at 36 km/h and 45
km/h respectively. A man sitting in slower train passes the
faster train in 8 seconds. The length of the faster train is
[2016 - II]
(a) 8 0 m (b) 120 m
(c) 160 m (d) 180 m
22. A train 110 metres long is running with a speed of 60 km/h.
In what time will it pass a man who is running at 6 km/h in
the direction opposite to that of train? [2016 - II]
(a) 5 sec (b) 6 sec
(c) 7 sec (d) 10 sec
23. A man rows 1 km in 10 minutes, along the stream and 1km in
20 minutes against the stream. The speed of the stream is
[2017 - I]
(a) 1 km/hr (b) 1.5 km/hr
(c) 3 km/hr (d) 2.5 km/hr
24. The speed of a boat in standing water is 8 km/hr and the
speed of the stream is 2km/hr. If boat takes 3hr 12 minutes to
a place and come back, then what is the distance?
[2017 - I]
(a) 1 4 km (b) 1 0 km
(c) 24 km (d) 1 2 km
25. A train 110m long running at the speed of 60km/hr, how long
it will take to cross a man running in the opposite direction
at the speed if 10km/hr. [2017 - I]
(a) 6 seconds (b) 8 seconds
(c) 12 seconds (d) 10 seconds
26. A man whose speed is 4.5 kmph in still water rows to a
certain upstream point and back to the starting point in a
river which flows at 1.5 kmph, find his average speed for the
total journey? [2017 - II]
(a) 8 kmph (b) 4 kmph
(c) 2 kmph (d) 10 kmph
27. A train moving at a cover a rate of 90 kmph. Crosses a tunnel
in 36 seconds. and other train which is 100 metres shorter
moving at a cover a rate of 45 kmph. How much time will it
take to go through the tunnel? [2017 - II]
(a) 54 seconds (b) 64 seconds
(c) 50 seconds (d) 58 seconds
28. A train passes a man standing on a platform in 10 sec. and
passes the platform in 22 sec. completely . If the platform is
150 meters long, how long is the train? [2017 - II]
(a) 12 5 m (b) 115 m
(c) 135 m (d) 145 m
29. On a journey across Kolkata, a taxi averages 50 km per hour
for 50% of the distance. 40 km per hour for 40% of it and 20
km per hour for the remaining. The average speed in km/
hour, for the whole journey is :     [2018 - I]
(a) 42 (b) 40 (c) 35 (d) 4 5
30. Two trains 108 m and 112 m in length are running towards
each other on the parallel lines at a speed of 45 km/hr and 54
km/hr respectively. To cross each other after they meet, it
will take     [2018 - I]
(a) 10 sec (b) 12 sec (c) 9 sec (d) 8 sec
31. A boat goes 15 km upstream and 
1
10 km
2
 downstream in 3
hours 15 minutes. It goes 12 km upstream and 14 km
downstream in 3 hours. What is the speed of the boat in still
water?     [2018 - I]
(a)4 (b) 6 (c) 10 (d) 14
32. A bus started its journey from Pune and reached Mumbai in
44 minutes at its average speed of 50 km/hr. If the average
speed of the bus is increased by 5km/hour, how much time
will it take to cover the same distance? [2018 - II]
(a) 40 minutes (b) 38minutes
(c) 36 minutes (d) 31minutes
33. Car A is travelling at 60 kmph towards northwest creating an
angle 42
0
 to north and Car B is travelling towards South
West at 80 kmph creating an angle 48
0
 degree to South. Both
are started from same point. Find distance between A and B
after one hour? [2019-I]
(a) 10 0 km (b) 12 0 km
(c) 15 0 km (d) 9 0 km
34. Difference between two stations X and Y is 500 km one train
starting from X move toward Y with 20 km/h and another
train move toward X from Y with the speed 30km/h. What is
the distance of the point where both train cross each other
from point X. [2019-I]
(a) 40 0 km (b) 20 0 km
(c) 30 0 km (d) 10 0 km
35. Gabbar kidnapped Basanti and placed him a tunnel which
has a length of 500 m. He tied her from 200 m distance from
rarer side. V eeru heroically saved Basanti and at the same
time a train was approaching the tunnel. They ran at a speed
of 10m/s to the nearer end and missed the collision very
closely . Find the speed of the train (in km/hr). [2019 - II]
( a) 25 (b) 7 0
(c) 90 (d) 8 0
36. A boat takes 22 hours to go downstream from point A to
point B then to point C (which is midway between A and B),
find the distance between A and B if speed of boat in still
water is 16 km/hr and that of stream is 4 km/hr ? [2019 - II]
(a) 20 0 km (b) 12 0 km
(c) 24 0 km (d) None of these
Time, Speed and Distance
37. Alok’s office is 100 km from his home. Once he started late
from his home by 1 hour. He increased his speed by 5kph
and reached office on time, find his changed speed.
[2019 - II]
(a) 18 kmph (b) 20 kmph
(c) 24 kmph (d) None of these
38. A man daily goes to temple which is 4km away from his
home at a speed of 4kph. Once he decided to take his dog
with him . The dog  reached the temple and returned back to
his owner then turn back again and ran towards temple, this
goes on and on. Find the distance covered by dog in the
direction of temple if the speed of dog is 8kph. [2019 - II]
(a) 5.5 km (b) 6 km
(c) 6.5 km (d) None of these
39. A train has 7 compartments and two compartments have
not same number of passengers. Average number of
passengers is 15. And no compartment has number of
passengers more than the average number of passenger.
except compartments 7th. Find the least number of
passengers in 7th compartment. [2019 - II]
( a) 30 (b) 3 2
(c) 35 (d) None of these
40. Two trains start towards each other at same time with speeds
50kmph and 60kmph, a bird perched first train and starting
from first train it went to second train and came back to first
train it went back to second train. The distance between
trains was 220km and speed of bird was 80kmph what is the
total distance travelled by bird? [2019 - II]
(a) 16 0 km
(b) 18 0 km
(c) 14 0 km
(d) None of these
41. If a person rows a boat at the speed of 8kmph and the speed
of stream is 1.4 kmph then it takes 2 hrs to reach somewhere
and coming back. If he increased his speed by 25percent
how will time be affected? [2019 - II]
(a) 21 % increase
(b) 21 % decrease
(c) 18 % increase
(d) None of these
42. A man complete a journey in 10 hours. He travels first half of
the journey at the rate of 21 km/hr and second half at the rate
of 24 km/hr. Find the total journey (in km). [2020 - I]
(a) 2 20 km (b) 2 24 km
(c) 2 45 km (d) 2 78 km
43. Two trains running in opposite directions cross a man
standing on the platform in 27 seconds and 17 seconds
respectively and they cross each other in 23 seconds. The
ratio of their speeds is? [2020 - I]
(a) 1 :3 (b) 3:2
(c) 2 :3 (d) None of these
ANSWERS & EXPLANATIONS
1. (b) Let first complete the job in x minutes
Second complete the job in y minutes
\
111
6 xy
+=
...(1)
and 
4 6 14
1
55 xy
+ = -=
...(2)
By (1) and (2)
x = 10, y = 15
Hence slower typist complete the jobs in 15 minutes.
2. (c) Speed of train = 
10km
50km/h
12/60 h
=
Speed is decreased by 5 kmph then new Speed of the
train will be 45 kmph
Time taken to cover 10 km, 
102
th
459
==
Time taken = 13min. 20 sec
3. (b) Let A finish the work in x days
B finish same work in 3 x days
3x – x = 10 Þ x = 5 days
B finish the work in 3×5 = 15 days
4. (b) Let A,B and C individualy complete the work in x,y and
z days respectively.
1 11
30 xy
+=
...(1)
1 11
24 yz
+=
...(2)
1 11
20 zx
+= ...(3)
adding equ (1) , (2) and (3)
1 11 1 1 11 1
2
8 16 x yz x yz
æö
++ = Þ ++ =
ç÷
èø
...(4)
A,B and C together complete the work in 16 days.
In 10 days they completed 
105
Part
168
=
Remaining work = 1–
53
88
=
Subtracting equ (2) from (4)
we get, 
11
or x 48
48 x
==
A alone can finish the Remaining work in
3
48 18days
8
´=
5. (b) Speed of train = 132 kmph = 132 ×
5
18
m/s = 
110
3
 m/s
Total distance = 110m + 165m = 275m
Time taken to cover the distance = 
275ms
110m
 = 7.5s.
275
3
110
´
= 7.5 sec.
Time, Speed and Distance
6. (a) In one minute A can fill 
th
1
20
æö
ç÷
èø
Part
In one minute B can fill 
th
1
30
æö
ç÷
èø
 Part
In one minute A and B together can fill
th
1 11
20 30 12
æö
+=
ç÷
èø
Parts
A and B together can fill the tank in 12 minutes
7. (c) Speed of upstream = 9 – 1.5 = 7.5 Kmph
Speed of down stream = 9 + 1.5 = 10.5 Kmph
Time taken for up stream = 
105
14h
7.5
=
Time taken for down stream = 
105
10h
10.5
=
Total time taken = 10 + 14 = 24 hours
8. (c) Distance covered by man = D Km
Speed of Man in still water = x Kmph
Speed of current = 
28
Kmph
3
According to question,
DD
3
28 28
xx
33
æö
ç÷
=
ç÷
ç÷
-+
èø
Þ 
28 28
x3x
33
æö
+=-
ç÷
èø
Þ 
28
4x2
3
=´
Þ 
142
x or 4 Kmph
33
=
9. (c) Let speed of steam be x Kmph.
Then,
26 14
10x 10x
=
+-
260 – 26x = 140 + 14x
          40x = 120
              x = 3
Speed of steam 3 Kmph.
10. (c) Let D Km be the distance between A and B.
D D 48
5
25 4 60
+=
D 25D 29
100 5
4+
-
29D 29
100 5
=
D = 20 Km
11. (b) Let 'x' be the length of the train.
Let 's' be the speed of train.
Distance travelled by train to cross the platform
= ( x + 200)m
According to question
(x + 200) = s × 10 sec. ...(1)
Distance travelled by train to cross he telegraph post
= x m
According to question
x = s × 5 sec. ...(2)
Puting 'x' value in (1) from (2)
(5s  + 200) = 105
200 = 10s – 5s = 5s
s = 40 m/s
s = 
8
40
18
5
´
 = 144 km/h
None of the option is matching.
12. (c)
1 11
A B 18
+= ...(1)
1 11
B C 24
+= ...(2)
1 11
C A 36
+= ...(3)
Adding eqn. (1), (2) and (3)
1 1 1 1 11
2
A B C 18 24 36
æö
+ + = ++
ç÷
èø
1 1 11
A B C 16
+ += ...(4)
Subtract eqn. (3) from (4)
1 1 15
B 16 36 144
= -=
B alone can finish work in 
144 4
28 days
55
=
13. (c) Let length of the train is x.
Distance = 12 km = 12000 m
Time = 10 min = 10 × 60 = 600 sec
Speed of train = 
12000
600
 = 20 m / sec
when train passes a telegraph post it covers distance
equal to its length.
using distance = time × speed
x = 6 × 20 = 120 m
14. (c) Let speed of the car be x kmph
Then speed of the train = 
150 3
x = x kmph
100 2
æö
ç÷
èø
75 75 125
(3 / 2) 10 60 xx
\-=
´
75 50 5
24 xx
Þ -=
25 24
120 kmph
5
x
´ æö
Þ==
ç÷
èø
15. (c) Rate downstream = 
1
60
10
æö
´
ç÷
èø
km/hr = 6km/hr.
Rate upstream =2 km/hr.
Speed in still water =
1
(6 + 2) km/ hr = 4 k/ hr
2
.
\ Required time = 
51
hrs = 1 hrs = 1hr15min .
44
æö
ç÷
èø
Page 5


B-38 Time, Speed and Distance
Time, Speed and
Distance
4
1. Two typists of varying skills can do a typing job in 6 minutes
if they work together. If the first typist typed alone for 4
minutes and then the second typist typed alone for 6 minutes,
they would be left with 1/5 of the whole work. How many
minutes would it take the slower typist to complete the typing
job working alone ? [2014-I]
(a) 10 minutes (b) 15 minutes
(c) 12 minutes (d) 20 minutes
2. A train covers a distance of 10 km in 12 minutes. If its speed
is decreased by 5 kmph, what is the time taken train to cover
the same distance ? [2014-II]
(a) 14 min. 33 sec (b) 13 min. 33 sec
(c) 13 min. 20 sec (d) 15 min. 20 sec
3. 'A' is thrice as good a workman as 'B' and takes 10 days less
to do a piece of work than 'B' takes. How many days will 'B'
take to complete if he works alone ? [2014-II]
(a) 21 days (b) 15 days
(c) 18 days (d) 24 days
4. 'A' and 'B' can do a piece of work in 30 days while 'B' and 'C'
can do the same work in 24 days and 'C' and 'A' in 20 days.
They all work for 10 days and 'B' and 'C' leave. How many
days more will 'A' take to finish the work ? [2014-II]
(a) 12 days (b) 18 days
(c) 20 days (d) 22 days
5. A train is moving at a speed of 132 kmph. If the length of the
train is 110 meters, how long will it take to cross a railway
platform 165 m long ? [2014-II]
(a) 6.0 secs (b) 7.5 secs
(c) 7.0 secs (d) 8.5 secs
6. Two pipes 'A' and 'B' can fill a tank in 20 and 30 minutes
respectively. If both the pipes are used together, then how
long are will it take to fill the tank ? [2014-II]
(a) 12 Min (b) 15 Min
(c) 25 Min (d) 50 Min
7. Speed of a boat in still water is 9 kmph and the speed of the
stream is 1.5 kmph. A man rows to a place at a distance of
105 kms and comes back to the starting point. What will be
the total time taken by him ? [2014-II]
(a) 16 Hrs (b) 18 Hrs
(c) 24 Hrs (d) 28 Hrs
8. A man can row 
1
9
3
 Kmph in still water and finds that it
takes him thrice as much time to row up than as to row down
the same distance in the river. The speed of the current is
[2015-I]
(a)
1
3
3
 Kmph (b)
1
3
9
 Kmph
(c)
2
4
3
 Kmph (d)
1
4
3
 Kmph
9. The speed of a boat in still water is 10 Kmph. If it can travel
26 Km downstream and 14 Km upstream in the same time,
the speed of the stream is [2015-I]
(a) 2 Kmph (b) 2.5 Kmph
(c) 3 Kmph (d) 4 Kmph
10. A man travelled from a point A to  B at the rate of 25 Kmph
and walked back at the rate of 4 Kmph. If the whole journey
took 5 hrs 48 minutes, the distance between A and B is
[2015-I]
(a) 3 0 km (b) 2 4 km
(c) 2 0 km (d) 51 .6 km
11. A train travelling at a  uniform speed clears a platform 200 m
long in 10 seconds and passes a telegraph post in 5 seconds.
The speed of the train is [2015-I]
(a) 36 km/h (b) 144 km/h
(c) 72 km/h (d) 78 km/h
12. A and B can do a piece of work in 18 days; B and C can do
it in 24 days, A and C can do it in 36 days. In how many days
B alone can finish the work? [2015-I]
(a) 48 days (b) 45 days
(c)
4
28
5
 days (d) 144 days
13. A train covers a distance of 12 km in 10 min. If it takes 6 sec
to pass a telegraph post, the length of the train is [2015-II]
(a) 9 0 m (b) 100 m
(c) 120 m (d) 140 m
14. A train can travel 50% faster than a car. Both start from point
A at the same time and reach point B 75 kms away from A at
the same time. On the way , however, the train lost about 12.5
minutes while stopping at the stations. The speed of the car
is: [2015-II]
(a) 100 Kmph (b) 110 Kmph
(c) 120 Kmph (d) 130 Kmph
15. A boatman goes 2 km against the current of the stream in 1
hour and goes 1 km along the current in 10 minutes. How
long will it take to go 5 km in stationary water? [2015-II]
(a) 40 minutes (b) 10 hour
(c) 1 hr 15 min (d) 1 hr 30 min
16. A steamer moves with a speed of 4.5 km/h in still water to a
certain upstream point and comes back to the starting point
in a river which flows at 1.5 km/h. The average speed of
steamer for the total journey is [2015-II]
(a) 12 km/h (b) 9 km/h
(c) 6 km/h (d) 4 km/h
17. A train 150 m long is running with a speed of 68 km/h. In
what time will it pass a man who is running at 8 km/ h in the
same direction in which the train is going? [2016-I]
(a) 8 sec (b) 8.5 sec
(c) 9 sec (d) 9.5 sec
Time, Speed and Distance
18. A worker may claim ` 1.5 for each km which he travels by
taxi and 50 paise for each km he drives his own car. If in one
week he claimed ` 50 for travelling 80 km, how many kms did
he travel by taxi? [2016 - II]
(a) 2 0 km (b) 1 4 km
(c) 1 2 km (d) 1 0 km
19. A man rows upstream a distance of 9 km or downstream a
distance of 18 km taking 3 hours each time. The speed of the
boat in still water is [2016 - II]
(a)
1
7
2
 km/h (b)
1
6
2
 km/h
(c)
1
5
2
 km/h (d)
1
4
2
 km/h
20. A man can row 30 km upstream and 44 km downstream in   10
hours. He can also row 40 km upstream and 55 km
downstream in 13 hours. Find the rate of current,  [2016 - II]
(a) 3 km/h (b) 2 km/h
(c) 4 km/h (d) 5 km/h
21.    Two trains travel in opposite directions at 36 km/h and 45
km/h respectively. A man sitting in slower train passes the
faster train in 8 seconds. The length of the faster train is
[2016 - II]
(a) 8 0 m (b) 120 m
(c) 160 m (d) 180 m
22. A train 110 metres long is running with a speed of 60 km/h.
In what time will it pass a man who is running at 6 km/h in
the direction opposite to that of train? [2016 - II]
(a) 5 sec (b) 6 sec
(c) 7 sec (d) 10 sec
23. A man rows 1 km in 10 minutes, along the stream and 1km in
20 minutes against the stream. The speed of the stream is
[2017 - I]
(a) 1 km/hr (b) 1.5 km/hr
(c) 3 km/hr (d) 2.5 km/hr
24. The speed of a boat in standing water is 8 km/hr and the
speed of the stream is 2km/hr. If boat takes 3hr 12 minutes to
a place and come back, then what is the distance?
[2017 - I]
(a) 1 4 km (b) 1 0 km
(c) 24 km (d) 1 2 km
25. A train 110m long running at the speed of 60km/hr, how long
it will take to cross a man running in the opposite direction
at the speed if 10km/hr. [2017 - I]
(a) 6 seconds (b) 8 seconds
(c) 12 seconds (d) 10 seconds
26. A man whose speed is 4.5 kmph in still water rows to a
certain upstream point and back to the starting point in a
river which flows at 1.5 kmph, find his average speed for the
total journey? [2017 - II]
(a) 8 kmph (b) 4 kmph
(c) 2 kmph (d) 10 kmph
27. A train moving at a cover a rate of 90 kmph. Crosses a tunnel
in 36 seconds. and other train which is 100 metres shorter
moving at a cover a rate of 45 kmph. How much time will it
take to go through the tunnel? [2017 - II]
(a) 54 seconds (b) 64 seconds
(c) 50 seconds (d) 58 seconds
28. A train passes a man standing on a platform in 10 sec. and
passes the platform in 22 sec. completely . If the platform is
150 meters long, how long is the train? [2017 - II]
(a) 12 5 m (b) 115 m
(c) 135 m (d) 145 m
29. On a journey across Kolkata, a taxi averages 50 km per hour
for 50% of the distance. 40 km per hour for 40% of it and 20
km per hour for the remaining. The average speed in km/
hour, for the whole journey is :     [2018 - I]
(a) 42 (b) 40 (c) 35 (d) 4 5
30. Two trains 108 m and 112 m in length are running towards
each other on the parallel lines at a speed of 45 km/hr and 54
km/hr respectively. To cross each other after they meet, it
will take     [2018 - I]
(a) 10 sec (b) 12 sec (c) 9 sec (d) 8 sec
31. A boat goes 15 km upstream and 
1
10 km
2
 downstream in 3
hours 15 minutes. It goes 12 km upstream and 14 km
downstream in 3 hours. What is the speed of the boat in still
water?     [2018 - I]
(a)4 (b) 6 (c) 10 (d) 14
32. A bus started its journey from Pune and reached Mumbai in
44 minutes at its average speed of 50 km/hr. If the average
speed of the bus is increased by 5km/hour, how much time
will it take to cover the same distance? [2018 - II]
(a) 40 minutes (b) 38minutes
(c) 36 minutes (d) 31minutes
33. Car A is travelling at 60 kmph towards northwest creating an
angle 42
0
 to north and Car B is travelling towards South
West at 80 kmph creating an angle 48
0
 degree to South. Both
are started from same point. Find distance between A and B
after one hour? [2019-I]
(a) 10 0 km (b) 12 0 km
(c) 15 0 km (d) 9 0 km
34. Difference between two stations X and Y is 500 km one train
starting from X move toward Y with 20 km/h and another
train move toward X from Y with the speed 30km/h. What is
the distance of the point where both train cross each other
from point X. [2019-I]
(a) 40 0 km (b) 20 0 km
(c) 30 0 km (d) 10 0 km
35. Gabbar kidnapped Basanti and placed him a tunnel which
has a length of 500 m. He tied her from 200 m distance from
rarer side. V eeru heroically saved Basanti and at the same
time a train was approaching the tunnel. They ran at a speed
of 10m/s to the nearer end and missed the collision very
closely . Find the speed of the train (in km/hr). [2019 - II]
( a) 25 (b) 7 0
(c) 90 (d) 8 0
36. A boat takes 22 hours to go downstream from point A to
point B then to point C (which is midway between A and B),
find the distance between A and B if speed of boat in still
water is 16 km/hr and that of stream is 4 km/hr ? [2019 - II]
(a) 20 0 km (b) 12 0 km
(c) 24 0 km (d) None of these
Time, Speed and Distance
37. Alok’s office is 100 km from his home. Once he started late
from his home by 1 hour. He increased his speed by 5kph
and reached office on time, find his changed speed.
[2019 - II]
(a) 18 kmph (b) 20 kmph
(c) 24 kmph (d) None of these
38. A man daily goes to temple which is 4km away from his
home at a speed of 4kph. Once he decided to take his dog
with him . The dog  reached the temple and returned back to
his owner then turn back again and ran towards temple, this
goes on and on. Find the distance covered by dog in the
direction of temple if the speed of dog is 8kph. [2019 - II]
(a) 5.5 km (b) 6 km
(c) 6.5 km (d) None of these
39. A train has 7 compartments and two compartments have
not same number of passengers. Average number of
passengers is 15. And no compartment has number of
passengers more than the average number of passenger.
except compartments 7th. Find the least number of
passengers in 7th compartment. [2019 - II]
( a) 30 (b) 3 2
(c) 35 (d) None of these
40. Two trains start towards each other at same time with speeds
50kmph and 60kmph, a bird perched first train and starting
from first train it went to second train and came back to first
train it went back to second train. The distance between
trains was 220km and speed of bird was 80kmph what is the
total distance travelled by bird? [2019 - II]
(a) 16 0 km
(b) 18 0 km
(c) 14 0 km
(d) None of these
41. If a person rows a boat at the speed of 8kmph and the speed
of stream is 1.4 kmph then it takes 2 hrs to reach somewhere
and coming back. If he increased his speed by 25percent
how will time be affected? [2019 - II]
(a) 21 % increase
(b) 21 % decrease
(c) 18 % increase
(d) None of these
42. A man complete a journey in 10 hours. He travels first half of
the journey at the rate of 21 km/hr and second half at the rate
of 24 km/hr. Find the total journey (in km). [2020 - I]
(a) 2 20 km (b) 2 24 km
(c) 2 45 km (d) 2 78 km
43. Two trains running in opposite directions cross a man
standing on the platform in 27 seconds and 17 seconds
respectively and they cross each other in 23 seconds. The
ratio of their speeds is? [2020 - I]
(a) 1 :3 (b) 3:2
(c) 2 :3 (d) None of these
ANSWERS & EXPLANATIONS
1. (b) Let first complete the job in x minutes
Second complete the job in y minutes
\
111
6 xy
+=
...(1)
and 
4 6 14
1
55 xy
+ = -=
...(2)
By (1) and (2)
x = 10, y = 15
Hence slower typist complete the jobs in 15 minutes.
2. (c) Speed of train = 
10km
50km/h
12/60 h
=
Speed is decreased by 5 kmph then new Speed of the
train will be 45 kmph
Time taken to cover 10 km, 
102
th
459
==
Time taken = 13min. 20 sec
3. (b) Let A finish the work in x days
B finish same work in 3 x days
3x – x = 10 Þ x = 5 days
B finish the work in 3×5 = 15 days
4. (b) Let A,B and C individualy complete the work in x,y and
z days respectively.
1 11
30 xy
+=
...(1)
1 11
24 yz
+=
...(2)
1 11
20 zx
+= ...(3)
adding equ (1) , (2) and (3)
1 11 1 1 11 1
2
8 16 x yz x yz
æö
++ = Þ ++ =
ç÷
èø
...(4)
A,B and C together complete the work in 16 days.
In 10 days they completed 
105
Part
168
=
Remaining work = 1–
53
88
=
Subtracting equ (2) from (4)
we get, 
11
or x 48
48 x
==
A alone can finish the Remaining work in
3
48 18days
8
´=
5. (b) Speed of train = 132 kmph = 132 ×
5
18
m/s = 
110
3
 m/s
Total distance = 110m + 165m = 275m
Time taken to cover the distance = 
275ms
110m
 = 7.5s.
275
3
110
´
= 7.5 sec.
Time, Speed and Distance
6. (a) In one minute A can fill 
th
1
20
æö
ç÷
èø
Part
In one minute B can fill 
th
1
30
æö
ç÷
èø
 Part
In one minute A and B together can fill
th
1 11
20 30 12
æö
+=
ç÷
èø
Parts
A and B together can fill the tank in 12 minutes
7. (c) Speed of upstream = 9 – 1.5 = 7.5 Kmph
Speed of down stream = 9 + 1.5 = 10.5 Kmph
Time taken for up stream = 
105
14h
7.5
=
Time taken for down stream = 
105
10h
10.5
=
Total time taken = 10 + 14 = 24 hours
8. (c) Distance covered by man = D Km
Speed of Man in still water = x Kmph
Speed of current = 
28
Kmph
3
According to question,
DD
3
28 28
xx
33
æö
ç÷
=
ç÷
ç÷
-+
èø
Þ 
28 28
x3x
33
æö
+=-
ç÷
èø
Þ 
28
4x2
3
=´
Þ 
142
x or 4 Kmph
33
=
9. (c) Let speed of steam be x Kmph.
Then,
26 14
10x 10x
=
+-
260 – 26x = 140 + 14x
          40x = 120
              x = 3
Speed of steam 3 Kmph.
10. (c) Let D Km be the distance between A and B.
D D 48
5
25 4 60
+=
D 25D 29
100 5
4+
-
29D 29
100 5
=
D = 20 Km
11. (b) Let 'x' be the length of the train.
Let 's' be the speed of train.
Distance travelled by train to cross the platform
= ( x + 200)m
According to question
(x + 200) = s × 10 sec. ...(1)
Distance travelled by train to cross he telegraph post
= x m
According to question
x = s × 5 sec. ...(2)
Puting 'x' value in (1) from (2)
(5s  + 200) = 105
200 = 10s – 5s = 5s
s = 40 m/s
s = 
8
40
18
5
´
 = 144 km/h
None of the option is matching.
12. (c)
1 11
A B 18
+= ...(1)
1 11
B C 24
+= ...(2)
1 11
C A 36
+= ...(3)
Adding eqn. (1), (2) and (3)
1 1 1 1 11
2
A B C 18 24 36
æö
+ + = ++
ç÷
èø
1 1 11
A B C 16
+ += ...(4)
Subtract eqn. (3) from (4)
1 1 15
B 16 36 144
= -=
B alone can finish work in 
144 4
28 days
55
=
13. (c) Let length of the train is x.
Distance = 12 km = 12000 m
Time = 10 min = 10 × 60 = 600 sec
Speed of train = 
12000
600
 = 20 m / sec
when train passes a telegraph post it covers distance
equal to its length.
using distance = time × speed
x = 6 × 20 = 120 m
14. (c) Let speed of the car be x kmph
Then speed of the train = 
150 3
x = x kmph
100 2
æö
ç÷
èø
75 75 125
(3 / 2) 10 60 xx
\-=
´
75 50 5
24 xx
Þ -=
25 24
120 kmph
5
x
´ æö
Þ==
ç÷
èø
15. (c) Rate downstream = 
1
60
10
æö
´
ç÷
èø
km/hr = 6km/hr.
Rate upstream =2 km/hr.
Speed in still water =
1
(6 + 2) km/ hr = 4 k/ hr
2
.
\ Required time = 
51
hrs = 1 hrs = 1hr15min .
44
æö
ç÷
èø
Time, Speed and Distance
16. (d) Speed of steamer in down stream = 4.5 + 1.5 = 6km
speed of steamer in up stream = 4.5 – 1.5 =3km
let the distance be x.
time taken in down stream = x / 6
time taken in up stream = x / 3
Avg. speed = 
totaldistance
total time
63
x + x
xx
+
 Þ
( )
2x
3x/6
 = 4 km/h
17. (c) Net relative speed = (68 – 8) km/h
= 60 km/h = 
5
60
18
´ m/s = 
50
3
m/s
Time = 
150
50
3
 = 9 sec.
18. (d) Let Distance travelled by taxi x km and by our car be
y km
A TQ
x + y = 80 ......(i)
1.5x + .5y = 50 .....(ii)
Multiplying Eq(i) by .5 and subtracting Eq(ii) from (i)
x = 10
Distance travelled by taxi is 10 Km
19. (d) Speed of boat upstream = 
9
3
 = 3km/hr
Speed of boat down stream = 
18
3
= 6 km/hr
Let speed of boat be = x km/hr
Let speed of stream be = y km/hr
A TQ
x + y = 6
x – y = 3
By subtracting
2x = 9
x = 
9
2
 or 
1
4 km / hr
2
20. (a) Let rate of upstream = x kmph and rate of downstream
= y kmph
Then
30 44
10
xy
*<
and
40 55
13
xy
*<
On solving we get x = 5, y = 11
So, rate of upstream = 5Km/hr and rate of downstream
= 11Km/hr
Rate of current = ??
1
11 – 5 3 km / hr
2
<
21. (d) Relative speed of both trains = (36 + 45) km/hr
= 
5
81 m / sec
18
æö
÷ ç
´ ÷
ç
÷ ç
èø
 = 
45
m / sec
2
Distance travelled by train while passing man = length
of train.
Length of train = 
45
8 180m
2
´<
Q  (D = ST)
22. (b) Relative speed of train for man = speed of train + speed
of man = (60 + 6) km/hr
= 
5
66 m / sec
18
æö
÷ ç
´ ÷
ç
÷ ç
èø
 = 
55
m / sec
3
Distance travelled by train while crossing man = length
of train.
Length of train = 110 metres
Time taken = 
D
S
 = 
110
3 6 sec
55
´<
23. (b) Speed of current = 
1
2
 (Rate of downstream – Rate of
upstream)
= 
1
2
 × (6 – 3)     = 
1
2
 × 3  = 1.5 km/hr
24. (d) According to question
d d 12
3
(8 2) (8 2) 60
+=
+-
d d1
3
10 65
+=
3d 5d 16
305
+
=
8d 16
305
=
     \ d = 
16 30
12km
85
´
=
´
25. (a) Distance = 110m
Relative speed = 60 + 10 = 70 kmph (since both the train
and the man are moving in opposite direction)
= 
5 350
70 m / sec
18 18
´=
\  Time taken to pass the man
= 
18
110 5.65 6seconds
350
´ =@
26. (b) Here, Speed of man = 4.5 km/hr
Speed of current = 1.5 km/hr
\ Speed of man in downstream = (4.5 + 1.5) = 6km/hr
Speed of man in upstream = (4.5 – 1.5) = 3km/hr
\ Average speed = 
263
(6 3)
´´
+
 = 
263
9
´´
 = 4 km/hr
27. (b) Speed of 1st train = 90 km/hr = 
5
90 25
18
´=
m/sec
Time taken by 1st train = 36 seconds
\ Distance = speed × time = 25 × 36 = 900m
Now
2nd train is 100 meters shorter, then
\ Distance (900 – 100) = 800m
Speed of 2nd train = 
5
45 12.5
18
´=
m/sec
\ Time = 
800
64
12.5
= seconds.