All questions of Time and Distance for Civil Engineering (CE) Exam

The distance between two cities P and Q is 300km. A train starts from station P at 10 am with speed 80 km/hr towards Q. Another train starts from Q towards P with speed 40km/hr at 11 am. At what time do they meet?
  • a)
    12.20pm
  • b)
    12.40 pm
  • c)
    12.50 pm
  • d)
    1 pm
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?

Preeti Khanna answered
First train starts at 10am so in one hour it covers 80 km in one hour. Now distance b/w P and Q is 220. Suppose at some’ x’ km they meet. So,
x/80 = (220-x)/40
x = 440/3. The time after which they meet = (440/3)/80 = 11/6 i.e = 1hr 50 min.

A girl goes to her school from her house at a speed of 6km/hr and returns at a speed of 4 km/hr. If she takes 10 hours in going and coming back, the distance between her school and house is
  • a)
    12km
  • b)
    16 km
  • c)
    20 km
  • d)
    24 km
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Aarav Sharma answered
Given data:
Speed while going to school = 6 km/hr
Speed while returning from school = 4 km/hr
Total time taken = 10 hours
To find: Distance between school and house

Let the distance between school and house be 'd' km
Using the formula, time = distance/speed, we get
Time taken while going to school = d/6
Time taken while returning from school = d/4

According to the question, total time taken = 10 hours
Therefore,
d/6 + d/4 = 10
Multiplying both sides by 12 (LCM of 6 and 4), we get
2d + 3d = 120
5d = 120
d = 24 km

Hence, the distance between the school and the house is 24 km. Therefore, the correct answer is option D.

Mr.Kavin walks at 4/5 of his normal speed and takes 60 minutes more than the usual time. What will be the new time taken by Mr. Kavin?
  • a)
    260 minutes
  • b)
    235 minutes
  • c)
    220 minutes
  • d)
    300 minutes
Correct answer is option 'D'. Can you explain this answer?

4/5 of speed = 5/4 of original time
5/4 of original time = original time + 60 minutes;
1/4 of original time = 60 minutes;
Thus, original time = 60*4 = 240 minutes = 240 + 60 = 300 minutes

Two stations P and Q are 400 km apart from each other. One train start from P at a speed of 60km/hr towards Q and after 2 hours another train starts from Q towards P at 45 km/hr. At what distance from P the train will meet.
  • a)
    220 km
  • b)
    240 km
  • c)
    260 km
  • d)
    280 km
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?

Aarav Sharma answered
Problem statement:
Two stations P and Q are 400 km apart from each other. One train starts from P at a speed of 60 km/hr towards Q and after 2 hours another train starts from Q towards P at 45 km/hr. At what distance from P the train will meet?

Solution:
Let the distance of meeting point from P be x km.
Then the distance of meeting point from Q will be (400-x) km.
Let us calculate the time taken by the first train to reach the meeting point.
Distance covered by the first train = x km
Speed of the first train = 60 km/hr
Time taken by the first train to cover x km = distance/speed = x/60
Since the first train started 2 hours earlier, the time taken by the first train to reach the meeting point = (x/60) + 2 hours.
Now let us calculate the time taken by the second train to reach the meeting point.
Distance covered by the second train = (400-x) km
Speed of the second train = 45 km/hr
Time taken by the second train to cover (400-x) km = distance/speed = (400-x)/45
Now we know that both the trains will meet at the same time at the meeting point. Hence, equating the time taken by both trains, we get:

(x/60) + 2 = (400-x)/45

Multiplying both sides by 180, we get:

3x + 360 = 800 - 4x

Simplifying the above equation, we get:

7x = 440

x = 440/7 = 62.86 km

Hence, the distance of the meeting point from P = 62.86 km.
Therefore, the correct answer is option (d) 280 km.

Rakesh travelled 1800 kilometre by air which formed 3/5 of the total journey. He travels 1/4 of the trip by car and the remaining trip by train. Find the distance travelled by train.
  • a)
    350
  • b)
    450
  • c)
    550
  • d)
    650
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Sagar Sharma answered
To find the distance travelled by train, we need to find the total distance of the journey and subtract the distance travelled by air and by car.

Let's assume the total distance of the journey is D.

Distance travelled by air: 3/5 of the total journey = (3/5) * D = 1800 km

Distance travelled by car: 1/4 of the total journey = (1/4) * D

Now, we can calculate the remaining distance travelled by train:

Remaining distance = Total distance - Distance travelled by air - Distance travelled by car

Remaining distance = D - 1800 km - (1/4) * D

Since the remaining distance is travelled by train, we need to find the value of D.

We know that the distance travelled by air is 1800 km, which is equal to 3/5 of the total distance:

1800 km = (3/5) * D

To find D, we can solve the equation:

D = (1800 km * 5) / 3
D = 3000 km

Now, we can substitute the value of D in the equation for the remaining distance:

Remaining distance = 3000 km - 1800 km - (1/4) * 3000 km
Remaining distance = 3000 km - 1800 km - 750 km
Remaining distance = 450 km

Therefore, the distance travelled by train is 450 km.

Hence, the correct answer is option 'B' (450 km).

Vijay takes 4 hr in walking at certain place and return back. While it takes 3 hrs in walking at certain place and riding back. Find the time Vijay will take to ride both sides
  • a)
    1.5hr
  • b)
    2 hr
  • c)
    2.5 hr
  • d)
    3.5 hr
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Vijay C answered
Time taken in first event, (from AtoB and back from BtoA) = 4hr
Time taken to walk to walk AtB/BtA= 4/2 = 2hrs
Time taken to walk from AtB and ride from BtA=3hrs
Time takes to ride back
=total time - time to walk
=3-2
=1hr
Time to ride from AtB and from BtA=1+1=2hrs
hence B)

An inspector is 228 meter behind the thief. The inspector runs 42 meters and the thief runs 30 meters in a minute. In what time will the inspector catch the thief?
  • a)
    19 minutes
  • b)
    20 minutes
  • c)
    18 minutes
  • d)
    21 minutes
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Anaya Patel answered
inspector s 228 meter behind the thief and now after some x distance he will catch the thief. So,
x/30 = (228 + x)/42, we will get x = 570m
so time taken by inspector to catch the thief = (228+570)/42 = 19 minutes

The driver of an ambulance sees a college bus 40 m ahead of him after 20 seconds, the college bus is 60 meter behind. If the speed of the ambulance is 30 km/h, what is the speed of the college bus?
  • a)
    10 kmph
  • b)
    12 kmph
  • c)
    15 kmph
  • d)
    22 kmph
Correct answer is option 'B'. Can you explain this answer?

Rajeev Kumar answered
Relative Speed = (Total distance)/total time
= (60+40) /20 = 5 m/s = (5*18)/5 = 18 kmph
Relative Speed = (speed of ambulance – speed of College bus)
Speed of College bus = speed of ambulance – relative speed.
= 30-18 = 12 kmph.

Two trains start from same place at same time at right angles to each other. Their speeds are 36km/hr and 48km/hr respectively. After 30 seconds the distance between them will be
  • a)
    400m
  • b)
    500m
  • c)
    600m
  • d)
    650m
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Rajeev Kumar answered
Using pythagarous theorem,
distance travelled by first train = 36*5/18*30 = 300m
distance travelled by second train = 48*5/18*30 = 400m
so distance between them =√(90000 + 160000) = √250000 = 500m

Anu normally takes 4 hours more than the time taken by Sachin to walk D km. If Anu doubles her speed, she can make it in 2 hours less than that of Sachin. How much time does Sachin require for walking D km?
  • a)
    10 hours
  • b)
    4 hours
  • c)
    8 hours
  • d)
    9 hours
Correct answer is option 'C'. Can you explain this answer?

Kavya Saxena answered
Let Sachin takes x hours to walk D km.
Then, Anu takes (x + 4) hours to walk D km.
With double of the speed, Anu will take (x + 4)/2 hours.
x – (x + 4)/2 = 2
⇒ 2x – (x + 4) = 4
⇒ 2x – x – 4 = 4
x = 4 + 4 = 8 hours

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