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    Question

    X can do a piece of work in 22 days. He worked at it for

    11 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 20 days Correct Answer Incorrect Answer
    C 15 days Correct Answer Incorrect Answer
    D 13 days Correct Answer Incorrect Answer

    Solution

    X’s 11 days work = 11/22 = 1/2 Remaining work = 1 – 1/2 = 1/2 This work was done by Y in 15 days. Y does 1/2th of the work in 15 days, he will finish the work in 15 × 2/1 = 30 days.  X & Y together would take 1/30 + 1/30 = 2/30 = 1/15 i.e. 15 days to complete the work.

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