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    Question

    Train 'A' takes 19 seconds to cross a pole and 18.75

    seconds to cross train 'B', which is 440 metre long and moving at the speed of 24 m/s towards train 'A'. Find the length of train 'A'.
    A 660 m Correct Answer Incorrect Answer
    B 760 m Correct Answer Incorrect Answer
    C 810 m Correct Answer Incorrect Answer
    D 960 m Correct Answer Incorrect Answer

    Solution

    Let the length of train 'A' = 'd' metresLet the speed of train 'A' = 'x' m/sAccording to the question,(d/x) = 19Or, d = 19xAlso, (d + 440) ├╖ (x + 24) = 18.75Or, d + 440 = 18.75x + 450Or, d = 18.75x - 10So, 19x = 18.75x - 10So, x = 10 ├╖ 0.25 = 40Therefore, length of train 'A' = 40 X 19 = 760 metres

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