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    Question

    β€˜X’ and β€˜Y’ together can complete a work in 16

    days, while β€˜Y’ and β€˜Z’ together can complete the work in 10 days. If β€˜Y’ takes 20 days to complete the work alone then find the time taken by all three together to complete 45% 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 4 days Correct Answer Incorrect Answer

    Solution

    Let the total work = 80 units Efficiency of (X + Y) = 80/16 = 5 units/day Efficiency of (Y + Z) = 80/10 = 8 units/day Efficiency of β€˜Y’ = 80/20 = 4 units/day Efficiency of (X + Y + Z) = (1 + 4 + 4) = 9 units/day Required time taken = (0.45 Γ— 80)/9 = 4 days

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