Problem on Trains

Problem on Trains

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Aptitude miscellaneous
  1. The lengths of a train and a platform are equal. If a train running at a speed of 90 km/h, crossed the platform in 1min, then find the length of the train. ?








  1. View Hint View Answer Discuss in Forum

    Let length of both train and platform be L.
    Distance covered by the train to cross the platform = L + L = 2L
    Time =1 min = 60 s
    and speed = 90 km/h = 90 x 5/18 = 25 m/s
    ∴ Distance = Speed x Time

    Correct Option: D

    Let length of both train and platform be L.
    Distance covered by the train to cross the platform = L + L = 2L
    Time =1 min = 60 s
    and speed = 90 km/h = 90 x 5/18 = 25 m/s
    ∴ Distance = Speed x Time
    ⇒ 2L = 25 x 60
    ⇒ L = 750 m

  1. Two train of length 70 m and 90 m are moving in opposite directions at 10 m/s and 6 m/s, respectively. Find the time taken by trains to cross each other . ?








  1. View Hint View Answer Discuss in Forum

    According to the formula .
    Required time = (x + y) / (u + v)
    Here, x = 70 m, y = 90 m, u = 10 m/s and v = 6 m/s

    Correct Option: A

    According to the formula .
    Required time = (x + y) / (u + v)
    Here, x = 70 m, y = 90 m, u = 10 m/s and v = 6 m/s
    ∴ Required time = (70 + 90) / (10 + 6) = 160/16 = 10 s

  1. A train travelling with uniform speed crosses two bridges of lengths 300 m and 240 m in 21 s and 18 s respectively. Find the speed of the train?








  1. View Hint View Answer Discuss in Forum

    Let length of the train = L
    According to the question,
    (L + 300)/21 = (L + 240)/18

    Correct Option: A

    Let length of the train = L
    According to the question,
    (L + 300)/21 = (L + 240)/18
    ⇒ (L + 300)/7 = (L + 240)/6
    ⇒ 6L + 1800 = 7L + 1680
    ∴ L = 120 m

    Taking the length of the 2nd bridge into consideration,
    Speed of train = (L+ 240)/18 = (120 + 240)/18 m/s
    = (360/18) x (18/5) km/h
    = 72 km/h

  1. A 400 m long train takes 36 s to cross a man walking at 20 km/h in the direction opposite to that of the train. What is the speed of the train ?








  1. View Hint View Answer Discuss in Forum

    Relative speed of train = 400/36 m/s = 400/36 x (18/5) = 40 km/h
    Relative speed of train = Speed of train + Speed of man

    Correct Option: A

    Relative speed of train = 400/36 m/s = 400/36 x (18/5) = 40 km/h
    Relative speed of train = Speed of train + Speed of man
    ⇒ 40 = Speed of train + 20
    ∴ Speed of train = 40 - 20 = 20 km/h

  1. A train moving with uniform speed crosses a pole in 2 s and a 250 m long bridge in 7 s. Find the length of the train?








  1. View Hint View Answer Discuss in Forum

    Let length of the train be L m.
    According to the question,
    L/2 = (L + 250)/7

    Correct Option: C

    Let length of the train be L m.
    According to the question,
    L/2 = (L + 250)/7
    ⇒ 7L = 2L + 500
    ⇒ 7L - 2L = 500
    ⇒ 5L = 500
    ∴ L = 500/5 = 100 m