Problem on Trains

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Aptitude miscellaneous
  1. A trains 100 meters long, running at 36 kmph takes 25 second to pass a bridge. The length of the bridge is ?








  1. View Hint View Answer Discuss in Forum

    Speed = 36 x (5/18) = 10 m/sec
    Let the length of the bridge = L m
    Distance covered = (100 + L) m
    Time taken = 25 sec
    ∵ (100 + L ) / 25 = 10 m/sec

    Correct Option: A

    Speed = 36 x (5/18) = 10 m/sec
    Let the length of the bridge = L m
    Distance covered = (100 + L) m
    Time taken = 25 sec
    ∵ (100 + L ) / 25 = 10 m/sec
    ⇒ 100 + L = 250
    ∴ L = 150 meter

  1. A train 700 m long is running at the speed of 72 km per hour. If it crosses a tunnel in 1 minute, then the length of the tunnel is ?








  1. View Hint View Answer Discuss in Forum

    Speed of the train = 72 x (5/18) = 20 m/sec
    Let the length of tunnel = L meters
    Then, (700 + L )/ 60 = 20

    Correct Option: A

    Speed of the train = 72 x (5/18) = 20 m/sec
    Let the length of tunnel = L meters
    Then, (700 + L )/ 60 = 20
    ⇒ 700 + L = 1200
    ∴ L = 500 meters


  1. Two trains 132 metres and 108 metres in length are running towards each other on parallel lines. One at the rate of 32 km/hr and another at 40 km/hr. In what time will they be clear of each other from the moment they meet ?








  1. View Hint View Answer Discuss in Forum

    Relative speed of the train = (32 + 40) = 72 km/hr = 72 x 5/18 = 20 m/sec.
    Sum of length of the train = 132 + 108 = 240 m

    Correct Option: A

    Relative speed of the train = (32 + 40) = 72 km/hr = 72 x 5/18 = 20 m/sec.
    Sum of length of the train = 132 + 108 = 240 m
    time taken by the trains in passing each other = 240/20 = 12 sec .

  1. The distance between two station A and B is 220 km. A train leaves A toward B at an average speed of 80 km/hr. after half an hour another train leaves B toward A at an average speed at 100 km/hr. the distance of the point of two train meet, from A is ?








  1. View Hint View Answer Discuss in Forum

    Let the required distance be x km.
    Then, ( x/80 ) - ( 220 - x ) / 100 = 1/2

    Correct Option: A

    Let the required distance be x km.

    Then, ( x/80 ) - ( 220 - x ) / 100 = 1/2
    ⇒ 5x - 4( 220 - x ) = 200
    ⇒ 9x = 1080
    ⇒ x = 120 km
    ∴ Required distance = 120 km

  1. A train 700 m long is running at the speed of 72 km/hr. If it cross a tunnel in 1 minute, then the length of the tunnel ?








  1. View Hint View Answer Discuss in Forum

    length of tunnel + length of train = distances covered by train in 1 min
    ⇒ length of tunnel + 700 = 72/60 km = 1.2 km = 1200 m

    Correct Option: D

    length of tunnel + length of train = distances covered by train in 1 min
    ⇒ length of tunnel + 700 = 72/60 km = 1.2 km = 1200 m
    ∴ length of tunnel = 1200 - 700 = 500 m