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  • Question
  • 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

  • Correct Answer
  • 60 km/hr 

    Explanation
    Let the speed of the slower train be x m/sec.

    Then, speed of the faster train = 2x m/sec.

    Relative speed = (x + 2x) m/sec = 3x m/sec.

    (100 + 100) = 3x
    8

    ⟹ 24x = 200

    x = 25 .
    3

    So, speed of the faster train = 50 m/sec
    3

       = 50 x 18 ❩km/hr
    3 5

       = 60 km/hr.


  • Problems on Trains


    Search Results


    • 1. 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
    • Discuss
    • 2. 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
    • 3. 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
    • 4. 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
    • 5. 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
    • 6. 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
    • 7. 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
    • 8. 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
    • 9. 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
    • 10. The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:

    • Options
    • A. 200 m
    • B. 225 m
    • C. 245 m
    • D. 250 m
    • Discuss


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