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    Question

    A train takes 34 sec to cross the signal located at one

    end of the 396 m long bridge. If the train takes 70 seconds to cross the bridge, then find the length of the train (in mtr).
    A 375 Correct Answer Incorrect Answer
    B 376 Correct Answer Incorrect Answer
    C 377 Correct Answer Incorrect Answer
    D 374 Correct Answer Incorrect Answer

    Solution

    When the train crosses the signal, it covers only the length of the train. So, using the formula, speed of train = distance/time = x/34   When the train is crossing the bridge, it covers the train's length and the bridge's length. So, using the formula, speed of train = distance/time = (x + 396)/70 Since the speed of the train is constant, we can equate the two expressions for speed:   (x + 396)/x = 70/34 Simplifying and solving for x, we get:   (x + 396) x 34 = 70x   70x-34x =34 x 396   36x =34 x 396 x = 34 x 11   x = 374 Therefore, the length of the train is 374 meters.

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