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      Question

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

      10 days and 14 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 35 days Correct Answer Incorrect Answer
      B 30 days Correct Answer Incorrect Answer
      C 25 days Correct Answer Incorrect Answer
      D 28 days Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let total work = 70 units (LCM of 10 and 14) Efficiency of β€˜A’ = (70/10) = 7 units/day Efficiency of β€˜B’ = (70/14) = 5 units/day Combined efficiency of β€˜A’, β€˜B’ and β€˜C’ = (70/5) = 14 units/day Efficiency of β€˜C’ = 14 – (7 + 5) = 2 units/day Required time taken = (70/2) = 35 days

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