Question

    A and B can complete a task in 12 days and 16 days

    respectively. They start working together but B leaves after 4 days. In how many more days will A 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

    Work done by A and B in 1 day = (1/12) + (1/16) = 7/48 Work done in 4 days = 4 × (7/48) = 28/48 = 7/12 Remaining work = 1 - 7/12 = 5/12 Work done by A in 1 day = 1/12 Time taken by A to complete the remaining work = (5/12) ÷ (1/12) = 5 days Correct Option: a

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