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    Question

    ‘X’ and ‘Y’ together can

    complete a work in 8 days, while ‘Y’ and ‘Z’ together can complete the work in 5 days. If ‘Y’ takes 10 days to complete the work alone then find the approximate time taken by all three together to complete 57.5% of work.
    A 3 days Correct Answer Incorrect Answer
    B 7 days Correct Answer Incorrect Answer
    C 9 days Correct Answer Incorrect Answer
    D 5 days Correct Answer Incorrect Answer
    E 6 days Correct Answer Incorrect Answer

    Solution

    Let the total work = 40 units
    Efficiency of (X + Y) = 40/8 = 15 units/day
    Efficiency of (Y + Z) = 40/5 = 8 units/day
    Efficiency of ‘Y’ = 40/10 = 4 units/day
    Efficiency of (X + Y + Z) = (15 + 8 – 4) = 9 units/day
    Required time taken = (0.575 × 40)/9 = 3 days (approx)

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