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    Question

    A and B together can do a work in 10 days. A alone can

    do it in 15 days. In how many days can B alone do it?
    A 30 days Correct Answer Incorrect Answer
    B 22 days Correct Answer Incorrect Answer
    C 33 days Correct Answer Incorrect Answer
    D 19 days Correct Answer Incorrect Answer

    Solution

    Let total work = 1. A’s 1-day work = 1/15 (A + B)’s 1-day work = 1/10 So B’s 1-day work = 1/10 − 1/15 LCM(10,15) = 30 1/10 = 3/30, 1/15 = 2/30 B’s 1‑day work = (3 − 2)/30 = 1/30 So B alone can do the work in 30 days.

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