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    Question

    A and B together can complete a work in 20 days. After

    working together for 8 days, B leaves, and A completes the remaining work in 16 more days. In how many days can B alone complete the entire work?
    A 30 days Correct Answer Incorrect Answer
    B 40 days Correct Answer Incorrect Answer
    C 50 days Correct Answer Incorrect Answer
    D 80 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the total work be W units. Work done by A and B together in 8 days = 8 × (W/20) = 2W/5 units Remaining work = W - 2W/5 = 3W/5 units A completes 3W/5 units in 16 days, so A’s 1-day work = (3W/5) / 16 = 3W/80 units A and B together complete W/20 units per day, so B’s 1-day work = (W/20 - 3W/80) = W/80 units Therefore, B can complete the entire work in 80 days.

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