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      Question

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

      7 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 4 days.
      A 28 days Correct Answer Incorrect Answer
      B 27 days Correct Answer Incorrect Answer
      C 26 days Correct Answer Incorrect Answer
      D 25 days Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let total work = 14 units (LCM of 7 and 14) Efficiency of β€˜A’ = (14/7) = 2 units/day Efficiency of β€˜B’ = (14/14) = 1 units/day Combined efficiency of β€˜A’, β€˜B’ and β€˜C’ = (14/4) = 3.5 units/day Efficiency of β€˜C’ = 3.5 – (2 + 1) = 0.5 units/day Required time taken = (14/0.5) = 28 days

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