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    Question

    A and B together can complete a piece of work in

    12 days while A alone can complete 70% of the work in 14 days. Find the time taken by B to complete 80% of the work.
    A 17 days Correct Answer Incorrect Answer
    B 16 days Correct Answer Incorrect Answer
    C 15 days Correct Answer Incorrect Answer
    D 24 days Correct Answer Incorrect Answer
    E 10 days Correct Answer Incorrect Answer

    Solution

    Time taken by A to complete the whole work = 14/0.70 = 20 days
    Let total work = 60 units
    Amount of work done by A and B together in one day = 60/12 = 5 units
    Amount of work done by A alone in one day = 60/20 = 3 units
    Amount of work done by B in one day = 5 – 3 = 2 units
    Desired time = 0.80 × 60/2 = 24 days

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