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    Question

    A can finish a work in 18 days and B can finish the same

    work in 27 days. They work together for 6 days and then A leaves. In how many more days will B finish the remaining work?
    A 18 days Correct Answer Incorrect Answer
    B 12 days Correct Answer Incorrect Answer
    C 22 days Correct Answer Incorrect Answer
    D 28 days Correct Answer Incorrect Answer

    Solution

    AтАЩs 1-day work = 1/18 BтАЩs 1-day work = 1/27 Together 1 day: = 1/18 + 1/27 LCM(18,27) = 54 = 3/54 + 2/54 = 5/54 Work done in 6 days = 6 ├Ч 5/54 = 30/54 = 5/9 Remaining work = 1 тИТ 5/9 = 4/9 Now B alone works at 1/27 per day. Time = (4/9) ├╖ (1/27) = (4/9) ├Ч 27 = 4 ├Ч 3 = 12 days

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