Question

    A train can cross a pole, a bridge of 495 meter long and

    platform of 440 meter long in 16 seconds, _____ seconds and 32 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/16 = (x + 440)/32 32x = 16x + 7040 16x = 7040 x = 440 So the length of the train = 440 m Speed of the train = 440/16 = 27.5 m/s Time taken by the train to cross a bridge 495 meter long = (440 + 495)/32 = 935/27.5 = 34 seconds

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