Problem on Trains

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Aptitude miscellaneous
  1. A train takes 5 seconds to pass an electric pole. If the length of the train is 120 meters, the time taken by it to cross a railway platform 180 meter long, is ?








  1. View Hint View Answer Discuss in Forum

    Speed of train = (120/5) = 24 m/sec.
    Time takes to cross the platform
    = (120 + 180)/24

    Correct Option: A

    Speed of train = (120/5) = 24 m/sec.
    Time takes to cross the platform
    = (120 + 180)/24
    = 121/2

  1. A train 120 meters long, crosses a pole in 10 seconds. The speed of the train is ?








  1. View Hint View Answer Discuss in Forum

    Length of train = 120 m.
    Total taken in crossing the pole = 10 seconds.
    Speed of the train = length / time


    43.2 km/hr

    Correct Option: B

    Length of train = 120 m.
    Total taken in crossing the pole = 10 seconds.
    Speed of the train = length / time
    = 120 / 10
    = 12 m/s
    = 12 x (18/5)
    = 43.2 km/hr

  1. A 200 m long rain is running at a speed of 54 km/hr. On the parallel and a different track, another train 300 m long is running at a speed of 72 km/hr. Both the trains are running in the same direction. Find out how much will it take the train to cross each other?








  1. View Hint View Answer Discuss in Forum

    Total time taken to cross each other = Total distance in meter/ Relative speed in m/sec

    when the trains are moving in the same direction,
    Relative speed= Difference between the speed of train

    and total distance for crossing each other = Sum of the length of train

    Correct Option: B

    We know that, when the trains are moving in the same direction,
    Relative speed= Difference between the speed of train

    and total distance for crossing each other = Sum of the length of train

    Therefore, Relative speed = 72 km/hr - 54 km /hr = 18 km/hr
    Relative speed in m/sec = 18 km/hr x 5/18 = 5 m/sec

    and Total distance = 200m + 300m = 500m

    and Total time taken to cross each other = Total distance in meter/ Relative speed in m/sec

    = 500 m / (5 m/sec) = 100 sec

  1. A train crosses a pole in 10 sec and a 200m long platform in 20 sec. What is the length of the train?








  1. View Hint View Answer Discuss in Forum

    Time taken to cross the platform = ( Length of train + Length of platform ) / speed of train

    And time taken to cross the pole = Length of train/ speed of train

    Correct Option: B

    Let the length of train be x meter and speed be y m/sec

    Therefore, time taken to cross the pole = x/y sec

    and time taken to cross the platform = ( Length of train + Length of platform) / speed of train

    Therefore x/y = 10
    And, (x+200) / y = 20
    ⇒ 10y + 200 = 20 y
    ∴ speed of train, y = 20 m/sec
    And length of rain = x = 10y = 200m


  1. Two trains running at 36 km/hr and 54 km/hr are running parallel in the opposite direction. If their lengths are 200m and 300m respectively. Then how much time will they take to cross each other?








  1. View Hint View Answer Discuss in Forum

    Relative speed, when the trains are running in the opposite direction = Sum of the speed

    Distance covered = sum of the lengths of the train = 200 m+ 300 m = 500m

    Correct Option: A

    Relative speed, when the trains are running in the opposite direction = Sum of the speed

    Therefore, Relative speed = 36 km/hr +72 km/hr = 90 km/hr
    Relative speed in m/sec = 90 km/hr x 5/18= 25 m/sec

    Distance covered = sum of the lengths of the train = 200 m+ 300 m = 500m
    Therefore, time taken = 500m / 25 m/sec = 20 sec