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    Question

    Train P travelling at 60 km/hr crosses another train Q,

    having three fourth of its length and travelling in opposite direction at 30 km/hr in 28 seconds. Train P passed a railway platform in 36 seconds. Find the length of platform.
    A 280 m Correct Answer Incorrect Answer
    B 160 m Correct Answer Incorrect Answer
    C 200 m Correct Answer Incorrect Answer
    D 300 m Correct Answer Incorrect Answer
    E 420 m Correct Answer Incorrect Answer

    Solution

    Let the length of the first train is x metre Length of second train = 3x/4 Therefore, (60 + 30) x 5/18 = {x + (3x/4)}/28 ⇒ 90 x 5/18 = (7x/4)/28 ⇒ x = 400 m Therefore, let the length of the platform be y metre ⇒ 60 x 5/18 = (400 + y)/36 ⇒ 600 = 400 + y ⇒ y = 600 – 400 = 200 m

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