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      Question

      A work can be completed by ‘A’ and ‘B’, alone in

      20 days and 15 days, respectively. Find the number of days taken by ‘C’ to complete the same work alone if ‘A’, ‘B’ and ‘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 ‘A’ = (60/20) = 3 units/day Efficiency of ‘B’ = (60/15) = 4 units/day Combined efficiency of ‘A’, ‘B’ and ‘C’ = (60/5) = 12 units/day Efficiency of ‘C’ = 12 – (3 + 4) = 5 units/day Required time taken = (60/5) = 12 days

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