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    Question

    A and B together can complete a piece of work in

    30 days while A alone can complete 50% of the work in 20 days. Find the time taken by B to complete 70% of the work.
    A 84 days Correct Answer Incorrect Answer
    B 66 days Correct Answer Incorrect Answer
    C 82 days Correct Answer Incorrect Answer
    D 75 days Correct Answer Incorrect Answer
    E 80 days Correct Answer Incorrect Answer

    Solution

    Time taken by A to complete the whole work = 20/0.50 = 40 days
    Let total work = 120 units
    Amount of work done by A and B together in one day = 120/30 = 4 units
    Amount of work done by A alone in one day = 120/40 = 3 units
    Amount of work done by B in one day = 4 – 3 = 1 units
    Desired time = 0.70 × 120/1 = 84 days

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