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    Question

    X can do a piece of work in 25 days. He worked at it for 5 days and then Y finished it in 24 days. In how many days can X and Y together finish the work?

    A 140/11 days Correct Answer Incorrect Answer
    B 150/11 days Correct Answer Incorrect Answer
    C 130/11 days Correct Answer Incorrect Answer
    D 120/11 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    X’s five day work = 5/25 = 1/5.
    Remaining work = 1 – 1/5 = 4/5
    This work was done by Y in 24 days.
    Y does 4/5th of the work in 24 days, he will finish the work in 24 × 5/4 = 30 days.
    X & Y together would take 1/25 + 1/30 = 11/150 = 150/11 i.e. 150/11 days to complete the work.

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