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    Question

    A can complete a piece of work in  12 days , and B can

    complete it in  18 days . They work together for  4 days , and then A leaves. In how many  more days  will B finish the remaining work?
    A 8 days Correct Answer Incorrect Answer
    B 5 days Correct Answer Incorrect Answer
    C 10 days Correct Answer Incorrect Answer
    D 12 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Assume total work = LCM(12, 18) = 36 units A’s rate = 36/12 = 3 units/day B’s rate = 36/18 = 2 units/day Work done in 4 days together: = (3 + 2) × 4 = 5 × 4 = 20 units Remaining work = 36 − 20 = 16 units B alone does 2 units/day: Time = 16 / 2 = 8 days

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