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    Question

    Train тАШAтАЩ running with a speed of 108 km/hr can

    cross a standing goods train of 4 times its length in 20 seconds. Find the time taken by 200 metres long train тАШBтАЩ which is coming from opposite direction of train тАШAтАЩ, with a speed of 12 m/s, to cross train тАШAтАЩ.
    A 8 seconds Correct Answer Incorrect Answer
    B 5 seconds Correct Answer Incorrect Answer
    C 14 seconds Correct Answer Incorrect Answer
    D 10 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 = тАШ4xтАЩ metres Speed of train тАШAтАЩ = 108 ├Ч (5/18) = 30 m/s According to the question, 4x + x = 30 ├Ч 20 => 5x = 600 => x = 120 Therefore, time taken by train тАШBтАЩ to cross train тАШAтАЩ = {(120 + 200)/(20 + 12)} = 10 seconds

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