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    A alone can do a work in 30 days, B alone in 40 days. They start together, but A leaves 5 days before the completion. Total work is completed in 18 da
    Question

    A alone can do a work in 30 days, B alone in 40 days. They start together, but A leaves 5 days before the completion. Total work is completed in 18 days. In how many days did A work?

    A.

    13 days

    B.

    14 days

    C.

    15 days

    D.

    16.5 days

    Correct option is A

    Given
    Time taken by A alone = 30 days
    Time taken by B alone = 40 days
    Total time taken to complete the work = 18 days
    A leaves 5 days before the work is completed.
    Solution
    The problem explicitly states that the entire work was completed in 18 days.
    It also states that A left 5 days before the completion of the work.
    Therefore, the number of days A worked is:
    Days A worked = 18 - 5 = 13 days.

    Final Answer
    So the correct answer is (a)

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