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    Question

    A and B together can complete a piece of work in

    30 days while A alone can complete 60% of the work in 45 days. Find the time taken by B to complete 74% 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 35 days Correct Answer Incorrect Answer
    E 30 days Correct Answer Incorrect Answer

    Solution

    Time taken by A to complete the whole work = 45/0.60 = 75 days
    Let total work = 150 units
    Amount of work done by A and B together in one day = 150/30 = 5 units
    Amount of work done by A alone in one day = 150/75 = 3 units
    Amount of work done by B in one day = 5 – 2 = 3 units
    Desired time = 0.74 × 150/3 = 37 days

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