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    Question

    ‘A’ and ‘B’ together can

    complete a work in 8 days, while ‘B’ and ‘C’ together can complete the work in 6 days. If ‘B’ takes 10 days to complete the work alone then find the time taken by all three together to complete 57.5% of work.
    A 6 days Correct Answer Incorrect Answer
    B 8 days Correct Answer Incorrect Answer
    C 9 days Correct Answer Incorrect Answer
    D 5 days Correct Answer Incorrect Answer
    E 3 days Correct Answer Incorrect Answer

    Solution

    Let the total work = 120 units
    Efficiency of (A + B) = 120/8 = 15 units/day
    Efficiency of (B + C) = 120/6 = 20 units/day
    Efficiency of ‘B’ = 120/10 = 12 units/day
    Efficiency of (A + B + C) = (15 + 20 – 12) = 23 units/day
    Required time taken = (0.575 × 120)/23 = 3 days

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