Problems on Trains is a topic in the Quantitative section of the Aptitude exam. Questions in this section are framed in a confusing way. So, make sure that you practice different level of questions in order to have flexibility while solving problems related to this concept.

Important topics covered in this section are Problems on Trains, Formula Based Questions , Relative Motion of Train, etc. To make your preparation easy we have compiled the most important 20 questions from this topic. Make sure you dedicate considerable time to solve these questions with integrity.

We assume that you have completed Time and Distance practice before coming to this page if not make sure you solve questions from Time and Distance. Second, after you complete this section solve questions from Simple and Compound Interest.

If you are already thorough with all the concepts of quantitative aptitude then move on to reasoning ability and verbal ability.

Q1

In what time will a train 100 meters long cross an electric pole, if its speed be 144 kmph?

Level 1
Problems on Trains
Formula Based Questions

A

2.5 seconds

B

4.25 seconds

C

5 seconds

D

12.5 seconds

Q2

A train 360 m long is running at a speed of 45 kmph. In what time will it pass a bridge 140 m long?

Level 1
Problems on Trains
Formula Based Questions

A

40 sec

B

42 sec

C

45 sec

D

48 sec

Q3

A train running at the speed of 60 kmph crosses a pole in 9 seconds. What is the length of the train?

Level 1
Problems on Trains
Formula Based Questions

A

120 metres

B

180 metres

C

324 metres

D

cannot be determined

E

none of these

Q4

The length of the bridge, which a train 130 meters long and travelling at 45 kmph can cross in 30 seconds, is:

Level 1
Problems on Trains
Relative Motion of Train

A

200 m

B

225 m

C

245 m

D

250 m

Q5

A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?

Level 1
Problems on Trains

A

320 m

B

350 m

C

650 m

D

Data inadequate

E

none of these

Q6

A train 800 metres long is running at a speed of 78 kmph. If it crosses a tunnel in 1 minute, then the length of the tunnel (in metres) is:

Level 1
Problems on Trains
Relative Speed of Train

A

130

B

360

C

500

D

540

Q7

A jogger running at 9 kmph alongside a railway track is 240 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?

Level 1
Problems on Trains
Relative Motion of Train

A

3.6 sec

B

18 sec

C

36 sec

D

72 sec

Q8

Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is:

Level 1
Problems on Trains
Relative Motion of Train

A

30 kmph

B

45 kmph

C

60 kmph

D

75 kmph

Q9

Two, trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:

Level 2
Problems on Trains
Relative Motion of Train

A

2:3

B

4:3

C

6:7

D

9:16

Q10

A train crosses a pole in 10 seconds. What is the length of the train?

I. The train crosses another train running in opposite direction with a speed of 80 km/hr in 22 seconds.

II. The speed of the train is 108 kmph.

Level 2
Problems on Trains
Relative Speed of Train

A

If the data in statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question

B

If the data in statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question

C

If the data either in Statement I or in Statement II alone are sufficient to answer the question

D

If the data even in both Statements I and II together are not sufficient to answer the question

E

If the data in both Statement I and II together are necessary to answer the question

Q11

What is the speed of the train?

I. The train crosses a signal pole in 18 seconds.

II. The train crosses a platform of equal length in 36 seconds

III. Length of the train is 330 metres.

Level 2
Problems on Trains
Relative Speed of Train

A

I and II

B

II and III

C

I and III

D

III and either I or II only

E

Any two of the three

Q12

At what time will the train reach city X from city Y?

I. The train crosses another train of equal length of 200 metres and running in opposite directions in 15 seconds

II. The train leaves city Y at 7.15 a.m. for city X situated at a distance of 558 km.

III. The 200 metres long train crosses a signal pole in 10 seconds.

Level 2
Problems on Trains
Relative Motion of Train

A

I

B

II

C

III

D

II and III only

E

All I, II, III are required

Q13

A man sitting in a train is counting the pillars of electricity. The distance between two pillars is 60 m, and the speed of the train is 42 km/h. In 5 hours, how many pillars will he count?

Level 2
Problems on Trains
Formula Based Questions

A

3501

B

3500

C

3800

D

None of these

Q14

A train takes 5 minutes to cross a telegraphic post. Then the time taken by another train whose length is just double of the first train and moving with the same speed to cross a platform of its own length is

Level 2
Problems on Trains
Relative Speed of Train

A

10 minutes

B

15 minutes

C

20 minutes

D

Data inadequate

Q15

A train with 90 km/hr crosses a bridge in 36 seconds. Another train 100 metres shorter crosses the same bridge at 45 km/h. What is the time taken by the second train to cross the bridge?

Level 2
Problems on Trains
Relative Motion of Train

A

61 seconds

B

62 seconds

C

63 seconds

D

64 seconds

Q16

The Ghaziabad-Hapur-Meerut EMU and the Meerut-Hapur-Ghaziabad EMU start at the same time from Ghaziabad and Meerut and procees towards each other at 16 km/hr and 21 km/hr respectively. When they meet, it is found that one train has traveled 60 km more than the other. The distance between two stations is

Level 2
Problems on Trains
Relative Motion of Train

A

440 km

B

444 km

C

445 km

D

450 km

Q17

Two trains start at the same time from A and B and proceed toward each other at the speed of 75 km/hr and 50 km/hr respectively. When both meet at a point in between, one train was found to have traveled 175 km more than the other. Find the distance between A and B.

Level 3
Problems on Trains
Relative Motion of Train

A

875 km

B

785 km

C

758 km

D

857 km

Q18

Two trains start simultaneously from two stations 270 km apart, each to the opposite station; they reach their destinations in 6\(\frac{1}{4}\) hours and 4 hours after they meet. The rate at which the slower train travels is

Level 3
Problems on Trains
Relative Motion of Train

A

16 km/hr

B

24 km/hr

C

25 km/hr

D

30 km/hr

Q19

Two sea trawlers left a sea port simultaneously in two mutually perpendicular directions. Half an hour later, the shortest distance between them was 17 km, and another 15 minutes later, one sea trawler was 10.5 km farther from the origin than the other. Find the speed of each sea trawler.

Level 3
Problems on Trains
Relative Motion of Train

A

16 km/hr, 30 km/hr

B

18 km/hr, 24 km/hr

C

20 km/hr, 22 km/hr

D

18 km/hr, 36 km/hr

Q20

Two trains start simultaneously from two stations 270 km apart, each to the opposite station; they reach their destinations in 6\(\frac{1}{4}\) hours and 4 hours after they meet. The rate at which the slower train travels is

Level 3
Problems on Trains
Relative Motion of Train

A

16 km/hr

B

24 km/hr

C

25 km/hr

D

30 km/hr

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