Problem on Trains

Problem on Trains

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Aptitude miscellaneous
  1. A train moving at the rate of 36 km per hour crosses a standing man in 10 seconds. It will cross a platform 55 meters long in ?








  1. View Hint View Answer Discuss in Forum

    speed of train = 36 x (5/18) = 10 m/sec.
    Let the length of the train be L meters
    Then, L/10 = 10
    ⇒ L = 100 meters.

    Correct Option: D

    speed of train = 36 x (5/18) = 10 m/sec.
    Let the length of the train be L meters
    Then, L/10 = 10
    ⇒ L = 100 meters.

    ∴ Time taken to cross the platform = (100 + 55) / 10 = 151/2 sec.

  1. A train of length 150 meters takes 10 seconds to pass over another train 100 meters long coming from the opposite direction. If the speed of the first train be 30 kmph, the speed of the second train is ?








  1. View Hint View Answer Discuss in Forum

    Relative speed of both trains = (150 + 100)/10 = 25 m/sec = 25 x (18/5) = 90 km/hr

    Correct Option: B

    Relative speed of both trains = (150 + 100)/10 = 25 m/sec = 25 x (18/5) = 90 km/hr
    ∴ Speed of second train = (90 - 30) = 60 km/hr .

  1. A train is running at the rate 40 kmph. A man also is going in the same direction parallel to the train at the speed of 25 kmph. If the train crosses the man in 48 sec, the length of the train is ?








  1. View Hint View Answer Discuss in Forum

    ∵ Relative speed of the train = (40 - 25) km/hr = 15 x (5/18) = 25/6 m/sec

    Correct Option: D

    ∵ Relative speed of the train = (40 - 25) km/hr = 15 x (5/18) = 25/6 m/sec
    ∴ Length of the train = (48 x 25) / 6 = 200 meters .

  1. A 150 meter long train crosses a man walking at the speed of 6 kmph in the opposite direction in 6 seconds. The speed of the train in km/hr is ?








  1. View Hint View Answer Discuss in Forum

    Let the speed of the train be v km/hr
    Relative speed of the train = (v + 6) km/hr = [(v + 6) x 5/18] m/sec
    ∵ 150/6 = (v + 6) x (5/18)

    Correct Option: B

    Let the speed of the train be v km/hr
    Relative speed of the train = (v + 6) km/hr = [(v + 6) x 5/18] m/sec
    ∵ 150/6 = (v + 6) x (5/18)
    ⇒ 5v + 30 = 450
    ∴ v = 84 km/hr

  1. A train travelling at 30 km an hour took 131/2 sec in passing a certain point. Find the length of the train ?








  1. View Hint View Answer Discuss in Forum

    Speed = 30 km/hr = 30 x (5/18) = 25/3 m/sec.

    Correct Option: C

    Speed = 30 km/hr = 30 x (5/18) = 25/3 m/sec.
    ∴ Length of the train = (25/3) x (27/2)
    = 225/2 = 1121/2 metres