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    Question

    A and B can each finish a task in 32 days and 36 days

    respectively. They begin the task together, but after 12 days, A leaves. How long will it take for B to complete the remaining work alone?
    A 7.5 days Correct Answer Incorrect Answer
    B 12.5 days Correct Answer Incorrect Answer
    C 10.5 days Correct Answer Incorrect Answer
    D 9.5 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let total amount of work = 288 units (LCM of 32 and 36) Amount of work done by A in one day = 288/32 = 9 units Amount of work done by B in one day = 288/36 = 8 units Amount of work done by A and B together in 12 days = 12 × 17 = 204 units Remaining work = 288 – 204 = 84 units Desired time = 84/8 = 10.5 days Hence, option c.

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