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    Question

    A and B together can do a piece of work in 9 days. A

    alone can do it in 15 days. In how many days can B alone do it?
    A 17.5 days Correct Answer Incorrect Answer
    B 22.5 days Correct Answer Incorrect Answer
    C 32.5 days Correct Answer Incorrect Answer
    D 44.8 days Correct Answer Incorrect Answer

    Solution

    A’s 1-day work = 1/15 (A + B)’s 1-day work = 1/9 So B’s 1-day work = 1/9 − 1/15 LCM(9,15) = 45 1/9 = 5/45 1/15 = 3/45 Thus B’s 1-day work = (5 − 3)/45 = 2/45 Time for B alone = 1 ÷ (2/45) = 45/2 = 22.5 days

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