Question

    A train can cross a pole, a bridge of 600 meter long

    and platform of 400 meter long in 13 seconds, _____ seconds and 29 seconds, respectively. The value given in which of the following option will fill the blank to make the above statement true:
    A 34 seconds Correct Answer Incorrect Answer
    B 37 seconds Correct Answer Incorrect Answer
    C 32 seconds Correct Answer Incorrect Answer
    D 30 seconds Correct Answer Incorrect Answer
    E 27 seconds Correct Answer Incorrect Answer

    Solution

    Let the length of the train = x meter So according to question: x/13 = (x + 400)/29 29x = 13x + 5200 16x = 5200 x = 325 So the length of the train = 325 m Speed of the train = 325/13 = 25 m/s Time taken by the train to cross a bridge 600 meter long = (325 + 600)/25 = 925/25 = 37 seconds

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