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    Question

    A can do a job in 24 days, while B can do the same job

    in 30 days. They started the work together, but A left after 6 days. In how many more days will B finish the remaining work?
    A 15 days Correct Answer Incorrect Answer
    B 14.5 days Correct Answer Incorrect Answer
    C 16.5 days Correct Answer Incorrect Answer
    D 12 days Correct Answer Incorrect Answer

    Solution

    Work done by A and B in 1 day = 1/24 + 1/30 = 3/40 Work done in 6 days = 6 × 3/40 = 9/20 Remaining work = 1 – 9/20 = 11/20 Remaining work is to be done by B, taken time = 11/20 ×30 = 16.5 days

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