Question

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

    platform of 480 meter long in 14 seconds, _____ seconds and 30 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/14 = (x + 480)/30 30x = 14x + 6720 16x = 6720 x = 420 So the length of the train = 420 m Speed of the train = 420/14 = 30 m/s Time taken by the train to cross a bridge 600 meter long = (420 + 600)/30 = 1020/30 = 34 seconds

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