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    Question

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

    18 days and 12 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 4 days.Β 
    A 9 days Correct Answer Incorrect Answer
    B 8 days Correct Answer Incorrect Answer
    C 7 days Correct Answer Incorrect Answer
    D 5 days Correct Answer Incorrect Answer

    Solution

    Let total work = 36 units (LCM of 18 and 12) Efficiency of β€˜A’ = (36/18) = 2 units/day Efficiency of β€˜B’ = (36/12) = 3 units/day Combined efficiency of β€˜A’, β€˜B’ and β€˜C’ = (36/4) = 9 units/day Efficiency of β€˜C’ = 9 – (2 + 3) = 4 units/day Required time taken = (36/4) = 9 days

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