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    Question

    A and B can complete a work in 12 days and 18 days,

    respectively. They work together for 4 days, and then A leaves. In how many more days will B complete the remaining work?
    A 6 days Correct Answer Incorrect Answer
    B 7 days Correct Answer Incorrect Answer
    C 8 days Correct Answer Incorrect Answer
    D 9 days Correct Answer Incorrect Answer

    Solution

    Total work = LCM(12, 18) = 36 units. Efficiency of A = 36/12 = 3. Efficiency of B = 36/18 = 2. Work done in 4 days = (3 + 2) × 4 = 20 units. Remaining = 36 - 20 = 16 units. Days for B = 16/2 = 8 days. Correct option: c

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