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    Question

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

    10 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 3 days.
    A 7 days Correct Answer Incorrect Answer
    B 3 days Correct Answer Incorrect Answer
    C 6 days Correct Answer Incorrect Answer
    D 5 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let total work = 30 units (LCM of 10 and 15) Efficiency of β€˜A’ = (30/10) = 3 units/day Efficiency of β€˜B’ = (30/15) = 2 units/day Combined efficiency of β€˜A’, β€˜B’ and β€˜C’ = (30/3) = 10 units/day Efficiency of β€˜C’ = 10 – (3 + 2) = 5 units/day Required time taken = (30/5) = 6 days

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