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    Question

    A’ and β€˜B’ together can complete a work in 10

    days, while β€˜B’ and β€˜C’ together can complete the work in 20 days. If β€˜B’ takes 8 days to complete the work alone then find the time taken by all three together to complete 57.5% of work.
    A 28 days Correct Answer Incorrect Answer
    B 21 days Correct Answer Incorrect Answer
    C 24 days Correct Answer Incorrect Answer
    D 26 days Correct Answer Incorrect Answer
    E 23 days Correct Answer Incorrect Answer

    Solution

    Let the total work = 40 units Efficiency of (A + B) = 40/10 = 4 units/day Efficiency of (B + C) = 40/20 = 2 units/day Efficiency of β€˜B’ = 40/8 = 5 units/day Efficiency of (A + B + C) = (4 + 2 – 5) = 1 units/day Required time taken = (0.575 Γ— 40)/1 = 23 days

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