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Trains Problem Test 63
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Trains Problem Test 63

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  • Question 1/5
    1 / -0
    A train crosses a pillar in 9 seconds and a 300 m long platform in 19 seconds. What is the length of train?
    Solutions

    Let the L and v be the length and speed of train respectively.

    ⇒ L = 9v ….(1)

    and ⇒ L = 19v – 300 ….(2)

    From (1) and (2) we get:

    19v – 300 = 9v

    ⇒ 10v = 300 ⇒ v = 30

    Length of train = 30 × 9 = 270 m

  • Question 2/5
    1 / -0

    A   train   is   traveling   at   a   speed   of   72   km‌/‌h‌,   crosses   a   platform   in   18   seconds‌.   Another   train   which is   200   m   smaller   than   the   first   is   traveling   at   a   speed of   45   km‌/‌h‌.   In   how   much   time   will   second train   cross   the platform‌?

    Solutions

    Let length of platform be x meter and length of first train be y m

    So,  ×

    ⇒ x + y = 360

    And,  ×

    ⇒ 360 – 200 = 12.5t

    ⇒ t = 12.8

  • Question 3/5
    1 / -0

    Krishak express crosses a bridge of 192 m length in 18 sec. Another Gomti express of same length as Krishak express crosses a standing man in 9 sec. If speed of Krishak express is 25% more than speed of Gomti express. Find length of Krishak express.

    Solutions

    Let length of Krishak express = length of Gomti express = l m

    ATQ,

    ⇒ l = 128 m

  • Question 4/5
    1 / -0
    Speed of train is 126 km/hr and it takes 12 seconds more to cross a platform than to cross a bridge of 33% length of platform. Arun notes that, when he walks at half of speed of train in opposite direction, train crosses him in 4 seconds. Find the time taken by train to cross the bridge?
    Solutions

    Speed of train=  = 35 m/sec

    Let the length of train is y m

    & Length of platform is 3x m.

    Length of bridge is x m.

    If speed of man is half, which means it is 17.5 m/sec

    ATQ,

     = 4

    y = 210 meter

    Now,

     = 12

    2x/35 = 12

    x =210 meter

    time taken to cross this platform

    (210 + 210)/35 = 12 seconds

  • Question 5/5
    1 / -0
    A train of length L travelling at a speed of 7 m/s crosses a man standing in a platform in 30 seconds. Find the time taken by the train to cross another train of length 150 m travelling at a speed of 3 m/s on a parallel track in the same direction.
    Solutions

    According to the data provided in the question, we get

     30

    L  210 m

    Relative Speed of trains for same direction = 7 – 3 = 4 m/s

    Time taken by the train to cross the other train  90 seconds

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