Quantitative Aptitude Problems on Trains
Piyush.Dixit, 17 Sep 2019

Problems on trains is an extended version of time, speed and distance. In this article, we will study the concept of relative speed. Problems on trains hold a good number of questions in all the competitive exams but SSC & Railways ask a high number of questions related to problems on trains. To take command over this chapter, one should thoroughly go through the basic concepts of problems on trains and practice a lot of questions from diversified sources. Some of the important concepts related to problems on trains are as follows:-

Condition

Concept Related to Condition

When two trains or bodies are moving in the opposite direction

  • Relative speed to cover the distance would be the sum of both the speeds.

  • Distance to be covered to cross each other completely would be the sum of the lengths of trains.

When two trains or bodies are moving in the same direction

  • Relative speed to cover the distance would be the difference of both the speeds.

  • Distance to be covered to by faster train to cross slower train would be the sum of the lengths of trains.

When the train is crossing a stationary object (man,pole, tree, etc) which do not have any length

  • Distance to be covered by train to cross the object will be the length of the train.

When the train is crossing a stationary object (tunnel, bridge, etc) which have some length

  • Distance to be covered by train to cross the object will be the the sum length of the train and the object.


How to prepare problems on trains?

  • Before coming to this one, go through the chapter time speed distance in great detail.

  • Try to increase your imagination power by assuming the scenarios in the statements.

  • Mix up it with time speed distance, don't understand it a separate topic.

  • Practise it using diversified sources.

  • Use previous year question paper to get an idea about the pattern and difficulty level of questions.

  • Take mock test to know about the latest trending pattern of the exams.

Practice questions of Problems on Trains

Q 1. In what time will the train 100 meters long cross an electric pole, if its speed be 144 km/hr?

  1. 2.5 seconds

  2. 4.25 seconds

  3. 3 seconds

  4. 12.5 seconds

  5. 5 seconds

View Solution

Q 2. A train 280 m long, running with a speed of 63 km/hr will pass a tree in:

  1. 15 sec

  2. 16 sec

  3. 17 sec

  4. 20 sec

  5. 18 sec

View Solution

Q 3. How long does a train 110 meters long running at the speed of 72 km/hr take to cross a bridge 132 meters in length?

  1. 11.8 sec

  2. 12.1 sec

  3. 12.42 sec

  4. 14.3 sec

  5. 9.8 sec

View Solution

Q 4. A train 360 m long in running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?

  1. 40 sec

  2. 46 sec

  3. 45 sec

  4. 48 sec

  5. 42 sec

View Solution


Q 5. A 75 m long train is running at 54 km/hr. In how much time will it cross an electric pole?

  1. 8 s

  2. 5 s

  3. 15 s

  4. 20 s

  5. 10 s

View Solution


Q 6. A 415 m long train is running at 63 km/hr. In how much time will it cross a tunnel 285 m long ?

  1. 25 s

  2. 40 s

  3. 35 s

  4. 30 s

  5. 50 s

View Solution


Q 7. A 400 m long train cross a 200 m long platform in 30 second, the train speed is:

  1. 80 km/hr

  2. 90 km/hr

  3. 72 km/hr

  4. 54 km/hr

  5. 36 km/hr

View Solution


Q 8. A train running at a speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

  1. 120 meters

  2. 160 meters

  3. Can’t be determined

  4. None of these

  5. 180 meters

View Solution

Q 9. A train 132 m long passes a telegraph pole in 6 seconds. Find the speed of the train.

  1. 70 km/hr

  2. 72 km/hr

  3. 79.2 km/hr

  4. 65 km/hr

  5. 80 km/hr

View Solution

Q 10. A train covers a distance of 12 km in 10 minutes. If it takes 6 seconds to pass a telegraph post, then the length of the train is:

  1. 90 m

  2. 100 m

  3. 120 m

  4. 110 m

  5. 140 m

View Solution

Q 11. A train 240 m long passed a pole in 24 seconds. How long will it take to pass a platform 650 m long?

  1. 65 sec

  2. 89 sec

  3. 100 sec

  4. 90 sec

  5. 150 sec

View Solution

Q 12. The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is:

  1. 240 m

  2. 225 m

  3. 245 m

  4. 250 m

  5. 200 m

View Solution

Q 13. A train 800 meters long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:

  1. 450

  2. 360

  3. 500

  4. 540

  5. 130

View Solution


Q 14. A good train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?

  1. 230 m

  2. 240 m

  3. 250 m

  4. 270 m

  5. 260 m

View Solution


Q 15. The length of a train and that a platform are equal. If with a speed of 90 km/hr, the train crosses the platform in one minute, then the length of the train (in meters) is:

  1. 500

  2. 600

  3. 750

  4. 800

  5. 900

View Solution


Q 16. A train of length 150 meters takes 40.5 seconds to cross a tunnel of length 300 meters. What is the speed of the train in km/hr?

  1. 13.33

  2. 26.67

  3. 40

  4. 14.56

  5. 66.67

View Solution


Q 17. A train crosses a platform 100 m long in 60 seconds at a speed of 45 km/hr. The time taken by the train to cross an electric pole is:

  1. 1 minute

  2. 52 sec

  3. 1.5 minute

  4. Data inadequate

  5. 8 sec

View Solution


Q 18. A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

  1. 120 m

  2. 240 m

  3. 250 m

  4. None of these

  5. 300 m

View Solution


Q 19. A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?

  1. 320 m

  2. 350 m

  3. Data inadequate

  4. 300 m

  5. None of these

View Solution


Q 20. A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:

  1. 50 m

  2. 150 m

  3. 100 m

  4. Data inadequate

  5. 200 m

View Solution


Q 21. A rain moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?

  1. 70.6 km/hr

  2. 70 km/hr

  3. 79 km/hr

  4. 79.2 km/hr

  5. 69.5 km/hr

View Solution


Q 22. A train takes 18 seconds to pass completely through a station 162 m long and 15 seconds through another station 120 m long. The length of the train is:

  1. 60 m

  2. 80 m

  3. 90 m

  4. 100 m

  5. 70 m

View Solution


Q 23. How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?

  1. 25

  2. 30

  3. 20

  4. 45

  5. 40

View Solution


Q 24. A jogger running at 9 kmph alongside a railway track is 240 meters ahead of the engine of a 120 meter long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?

  1. 3.6 sec

  2. 18 sec

  3. 36 sec

  4. 20 sec

  5. 72 sec

View Solution


Q 25. A train 110 meters long in running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in a direction opposite to that in which the train is going?

  1. 5 sec

  2. 6 sec

  3. 4 sec

  4. 10 sec

  5. 7 sec

View Solution

Preparation
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