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    Question

    Train A and B can cross a 300 meters long platform in

    the same time. The length of Train A is 350 meters and the speed of Train B is twice the speed of Train A. If Train A crosses a bridge of the same length as of Train B in 50 seconds, then find the time (in seconds) taken by Train B to cross a tunnel 80 m long.
    A 18 Correct Answer Incorrect Answer
    B 20 Correct Answer Incorrect Answer
    C 22 Correct Answer Incorrect Answer
    D 24 Correct Answer Incorrect Answer
    E 16 Correct Answer Incorrect Answer

    Solution

    Let speed of train A = v meters/second
    And speed of train B = 2v meters/second
    Let length of train B = y meters ATQ, (y + 300)/2v = (350 + 300)/v
    y + 300 = 1300
    y = 1000 meters Speed of train A = (350 + 1000)/50 = 27 m/sec
    Speed of train B = 2 × 27 = 54 m/sec Required time = (1000 + 80)/54 = 20 sec

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