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    Question

    A boy is cycling at a speed of 6 m/sec in the same

    direction of the train. Train crosses the boy in 5 seconds. If speed of the train is 90 km/hr, then find the time taken by train to cross a platform of length 105 metres.
    A 6 seconds Correct Answer Incorrect Answer
    B 7 seconds Correct Answer Incorrect Answer
    C 8 seconds Correct Answer Incorrect Answer
    D 9 seconds Correct Answer Incorrect Answer
    E 10 seconds Correct Answer Incorrect Answer

    Solution

    Train speed = 90 × (5/18) = 25 m/sec
    Relative speed = 25 - 6 = 19 m/sec
    L / 19 = 5 ⇒ L = 95 metres
    Time to cross platform = (95 + 105)/25 = 200/25 = 8 seconds

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