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    Question

    A and B can do a piece of work in 12 days and 18 days,

    respectively. They start working together, and after 4 days, A leaves the work. How many more days will B take to complete the remaining work?
    A 5 days Correct Answer Incorrect Answer
    B 6 days Correct Answer Incorrect Answer
    C 7 days Correct Answer Incorrect Answer
    D 8 days Correct Answer Incorrect Answer

    Solution

    Rate of A = 1/12 per day, Rate of B = 1/18 per day. In 4 days, A and B together complete: (1/12 + 1/18) Ă— 4 = (3 + 2) / 36 Ă— 4 = 20 / 36 = 5/9 of the work. Remaining work = 1 - 5/9 = 4/9. B's rate is 1/18 per day. B will take: (4/9) / (1/18) = 4/9 Ă— 18 = 8 days. Correct answer: d. 8 days

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