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    Question

    X, Y and Z can do a piece of work in 90 days, 40 days

    and 120 days respectively. If they all work together alternatively starting with X, Y than Z respectively. Find the total time in which the total work will be completed.
    A 63(4/9) days Correct Answer Incorrect Answer
    B 67(4/9) days Correct Answer Incorrect Answer
    C 51(4/9) days Correct Answer Incorrect Answer
    D 53(4/9) days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Work done by X, Y and Z together in 3 days = 4 + 9 + 3 = 16 Work done by X, Y and Z together in 66 days = 352 Remaining work = 360 – 352 = 8 Total time to complete the whole work = 66 + 1 + 4/9 = 67(4/9) days

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