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Home Aptitude Problems on Trains Comments

  • Question
  • A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:


  • Options
  • A. 45 m
  • B. 50 m
  • C. 54 m
  • D. 72 m

  • Correct Answer
  • 50 m 

    Explanation
    2 kmph = 2 x 5 m/sec = 5 m/sec.
    18 9

    4 kmph = 4 x 5 m/sec = 10 m/sec.
    18 9

    Let the length of the train be x metres and its speed by y m/sec.

    Then, x = 9 and x = 10.
    y - 5
    9
    y - 10
    9

    ∴ 9y - 5 = x and 10(9y - 10) = 9x

    ⟹ 9y - x = 5 and 90y - 9x = 100.

    On solving, we get: x = 50.

    ∴ Length of the train is 50 m.


  • Problems on Trains


    Search Results


    • 1. 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:

    • Options
    • A. 1 : 3
    • B. 3 : 2
    • C. 3 : 4
    • D. None of these
    • Discuss
    • 2. Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.

    • Options
    • A. 12 sec
    • B. 24 sec
    • C. 48 sec
    • D. 60 sec
    • Discuss
    • 3. A train travelling at 48 kmph completely crosses another train having half its length and travelling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is

    • Options
    • A. 400 m
    • B. 450 m
    • C. 560 m
    • D. 600 m
    • Discuss
    • 4. A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is:

    • Options
    • A. 48 km/hr
    • B. 54 km/hr
    • C. 66 km/hr
    • D. 82 km/hr
    • Discuss
    • 5. Jar A has 36 litres of mixture of milk and water in the respective ratio of 5 : 4. Jar B which had 20 litres of mixture of milk and water, was emptied into jar A, and as a result in jar A, the respective ratio of milk and water becomes 5: 3. What was the quantity of water in jar B?

    • Options
    • A. 5 lit
    • B. 3 lit
    • C. 8 lit
    • D. 2 lit
    • Discuss
    • 6. 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:

    • Options
    • A. 30 km/hr
    • B. 45 km/hr
    • C. 60 km/hr
    • D. 75 km/hr
    • Discuss
    • 7. A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?

    • Options
    • A. 65 sec
    • B. 89 sec
    • C. 100 sec
    • D. 150 sec
    • Discuss
    • 8. A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?

    • Options
    • A. 3.6 sec
    • B. 18 sec
    • C. 36 sec
    • D. 72 sec
    • Discuss
    • 9. Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?

    • Options
    • A. 10
    • B. 12
    • C. 15
    • D. 20
    • Discuss
    • 10. A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?

    • Options
    • A. 5 sec
    • B. 6 sec
    • C. 7 sec
    • D. 10 sec
    • Discuss


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