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    Question

    X can do a piece of work in 33 days. He worked at it for

    3 days and then Y finished it in 20 days. In how many days can X and Y together finish the work?
    A 11 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
    E None of these Correct Answer Incorrect Answer

    Solution

    X’s 3 days work = 3/33 = 1/11
    Remaining work = 1 – 1/11 = 10/11
    This work was done by Y in 20 days.
    Y does 10/11th of the work in 20 days, he will finish the work in 20 × 11/10 = 22 days.
    X & Y together would take 1/22 + 1/22 = 2/22 = 1/11 i.e. 11 days to complete the work.

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