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    Question

    Train тАШAтАЩ running with a speed of 54 km/hr can cross

    a standing goods train of 5 times its length in 40 seconds. Find the time taken by 200 metres long train тАШBтАЩ which is coming from opposite direction of train тАШAтАЩ, with a speed of 20 m/s, to cross train тАШAтАЩ.
    A 10 seconds Correct Answer Incorrect Answer
    B 5 seconds Correct Answer Incorrect Answer
    C 6 seconds Correct Answer Incorrect Answer
    D 3 seconds Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the length of train тАШAтАЩ be тАШxтАЩ metres Therefore, length of the goods train = тАШ5xтАЩ metres Speed of train тАШAтАЩ = 54 ├Ч (5/18) = 15 m/s According to the question, 5x + x = 15 ├Ч 40 => 6x = 600 => x = 100 Therefore, time taken by train тАШBтАЩ to cross train тАШAтАЩ = {(100 + 200)/(40 + 20)} = 5 seconds

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