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    Question

    A and B together can complete a piece of work in 25 days while A alone can complete 50% of the work in 50 days. Find the time taken by B to complete 66% of the work.

    A 37 days Correct Answer Incorrect Answer
    B 36 days Correct Answer Incorrect Answer
    C 32 days Correct Answer Incorrect Answer
    D 22 days Correct Answer Incorrect Answer

    Solution

    Time taken by A to complete the whole work = 50/0.50 = 100 days
    Let total work = 100 units
    Amount of work done by A and B together in one day = 100/25 = 4 units
    Amount of work done by A alone in one day = 100/100 = 1 units
    Amount of work done by B in one day = 4 – 1 = 3 units
    Desired time = 0.66 × 100/3 = 22 days

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