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    Question

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

    complete the same work in 16 days. They work together for 4 days, and then A leaves. How many more days will B take to finish the remaining work?
    A 4.5 days Correct Answer Incorrect Answer
    B 5 days Correct Answer Incorrect Answer
    C 6.67 days Correct Answer Incorrect Answer
    D 7 days Correct Answer Incorrect Answer
    E 3 days Correct Answer Incorrect Answer

    Solution

    Work done by A in 1 day = 1/12,  Work done by B in 1 day = 1/16 Work done by A and B together in 1 day = (1/12) + (1/16) Taking LCM of 12 and 16 = 48, Work done together = (4/48) + (3/48) = 7/48 Work done in 4 days = 4 × (7/48) = 28/48 = 7/12 Remaining work = 1 - 7/12 = 5/12 B's work rate = 1/16 Time taken by B = (5/12) ÷ (1/16)  = (5/12) × 16 = 20/3 = 6.67 days. Correct Option: c) 6.67 days

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