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    Question

    Train ‘A’ running with a speed of 90 km/h crosses a

    pole in 7 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 12 seconds, then find the length of train B.
    A 305 metres Correct Answer Incorrect Answer
    B 300 metres Correct Answer Incorrect Answer
    C 315 metres Correct Answer Incorrect Answer
    D 309 metres Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Speed of train A = 90 × 5/18 = 25 m/s Length of train A = 25 × 7 = 175 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 + 25 = 40 m/s So, I + 175 = 40 × 12 = 480 So, l = 305 metres

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