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    Question

    X can do a piece of work in 25 days. He worked at it for

    10 days and then Y finished it in 24 days. In how many days can X and Y together finish the work?
    A 10(3/11) days Correct Answer Incorrect Answer
    B 15(5/13) days Correct Answer Incorrect Answer
    C 12(3/10) days Correct Answer Incorrect Answer
    D 13(7/12) days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Xrsquo;s 10 days work = 10/25 = 2/5
    Remaining work = 1 ndash; 2/5 = 3/5
    This work was done by Y in 24 days.
    Y does 3/5 th of the work in 24 days, he will finish the work in 24 times; 5/3 = 40 days.
    X Y together would take 1/25 + 1/40 = 13/200 = 200/13 i.e. 15(5/13) days to complete the work.

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