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    Question

    A work can be completed by β€˜A’ and β€˜B’, alone in

    20 days and 15 days, respectively. Find the number of days taken by β€˜C’ to complete the same work alone if β€˜A’, β€˜B’ and β€˜C’ together can complete the whole work in 5 days.
    A 10 days Correct Answer Incorrect Answer
    B 9 days Correct Answer Incorrect Answer
    C 11 days Correct Answer Incorrect Answer
    D 12 days Correct Answer Incorrect Answer

    Solution

    Let total work = 60 units (LCM of 20 and 15) Efficiency of β€˜A’ = (60/20) = 3 units/day Efficiency of β€˜B’ = (60/15) = 4 units/day Combined efficiency of β€˜A’, β€˜B’ and β€˜C’ = (60/5) = 12 units/day Efficiency of β€˜C’ = 12 – (3 + 4) = 5 units/day Required time taken = (60/5) = 12 days

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