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    Question

    X can do a piece of work in 20 days. He worked at it for

    5 days and then Y finished it in 15 days. In how many days can X and Y together finish the work?
    A 10 days Correct Answer Incorrect Answer
    B 18 days Correct Answer Incorrect Answer
    C 14 days Correct Answer Incorrect Answer
    D 13 days Correct Answer Incorrect Answer

    Solution

    X’s five day work = 5/20 = 1/4. Remaining work = 1 – 1/4 = 3/4.
    This work was done by Y in 15 days.
    Y does 3/4th of the work in 15 days, he will finish the work in 15 × 4/3 = 20 days.
    X & Y together would take 1/20 + 1/20 = 2/20 = 1/10 i.e. 10 days to complete the work.

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