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    Question

    A and B together can complete a piece of work in

    35 days while A alone can complete 60% of the work in 36 days. Find the time taken by B to complete 75% of the work.
    A 63 days Correct Answer Incorrect Answer
    B 60 days Correct Answer Incorrect Answer
    C 62 days Correct Answer Incorrect Answer
    D 65 days Correct Answer Incorrect Answer
    E 66 days Correct Answer Incorrect Answer

    Solution

    Time taken by A to complete the whole work = 36/0.6 = 60 days
    Let total work = 420 units
    Amount of work done by A and B together in one day = 420/35 = 12 units
    Amount of work done by A alone in one day = 420/60 = 7 units
    Amount of work done by B in one day = 12 – 7 = 5 units
    Desired time = 0.75 × 420/5 = 63 days

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