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    Question

    Train ‘A’ running with a speed of 45 km/h crosses a

    pole in 4 seconds. If the time taken by train ‘A’ to cross train ‘B’ running with a speed of 54 km/h and coming from the opposite direction is 13 seconds, then find the length of train B.
    A 327.5 metres Correct Answer Incorrect Answer
    B 337.5 metres Correct Answer Incorrect Answer
    C 307.5 metres Correct Answer Incorrect Answer
    D 347.5 metres Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Speed of train A = 45 × 5/18 = 12.5 m/s Length of train A = 12.5 × 4 = 50 metres Let length of train B = ‘l’ metres Speed of train B = 54 × 5/18 = 15 m/s Relative speed if train A with respect to train B = 15 + 12.5 = 27.5 m/s So, I + 50 = 27.5 × 13 = 357.5 So, l = 307.5 metres

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