Problem on Trains

Problem on Trains

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Aptitude miscellaneous
  1. From station M and N, two trains start moving towards each other at speed 125 km/h and 75 km/h, respectively. When the two trains meet each other, it is founds that one train covers 50 km more than another. Find the distance between M and N. ?








  1. View Hint View Answer Discuss in Forum

    Let the trains meet after time t at a distance x from station N.
    Then another train coming from station M covers a distance of (x + 50)

    Correct Option: B

    Let the trains meet after time t at a distance x from station N.
    Then another train coming from station M covers a distance of (x + 50)

    For station M,
    (x + 50) = 125t
    ⇒ x = 125t - 50 ..(i)

    For station N,
    x = 75t .....(ii)

    From Eqs. (i) and (ii), we get
    75t = 125t - 50
    ⇒ t = 1h

    Distance between station M and N = 125 + 75t = 200 x 1 = 200 km

  1. Excluding stoppages, the speed of a train is 108 km/h and including stoppages, it is 90 km/h. For how many minute does the train stop per hour ?








  1. View Hint View Answer Discuss in Forum

    Because of stoppages, train covers 18 km less per hour .
    ∴ Time taken to cover 18 km = 18/108

    Correct Option: C

    Because of stoppages, train covers 18 km less per hour .
    ∴ Time taken to cover 18 km = 18/108 = 1/6 h = (1/6) x 60 = 10 min

  1. Without stoppages, the speed of a train is 150 km/h and with stoppages, it is 100 km/h. How many minutes does the train stop ?








  1. View Hint View Answer Discuss in Forum

    Because of stoppages, train covers 50 km less per hour.
    ∴ Time taken taken to cover 50 km = 50/150 h = (50/150) x 60 = 20 min

    Correct Option: A

    Because of stoppages, train covers 50 km less per hour.
    ∴ Time taken taken to cover 50 km = 50/150 h = (50/150) x 60 = 20 min

  1. Two trains running in opposite directions cross a man standing on the platform 54s and 34s respectively and they cross each other in 46 s . Find the ratio of their speeds. ?








  1. View Hint View Answer Discuss in Forum

    Let the speeds of two trains be x and y, respectively .
    ∴ Length of 1st train = 54x
    Length of the 2nd train = 34y
    According to the question.
    (54x + 34y) / (x + y) = 46

    Correct Option: A

    Let the speeds of two trains be x and y, respectively .
    ∴ Length of 1st train = 54x
    Length of the 2nd train = 34y
    According to the question.
    (54x + 34y) / (x + y) = 46
    ⇒ 54x + 34y = 46x + 46y
    ⇒ 27x + 17y = 23x + 23y
    ⇒ 4x = 6y
    ⇒ x/y = 3/2
    ∴ x : y = 3 : 2

  1. Two trains are running 40 km/h and 20 km/h respectively, in the same directions. The fast train completely passes a man sitting in the slow train in 5 s. The length of the fast a train is ?








  1. View Hint View Answer Discuss in Forum

    The length of the fast train = Relative speed x Time
    = (40 - 20) x (5/18) x 5

    Correct Option: C

    The length of the fast train = Relative speed x Time
    = (40 - 20) x (5/18) x 5 = 277/9 m