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      Question

      A and B together can complete a piece of

      work in 55 days while B and C together can complete the same work in 66 days. All of three together can complete 80% of the whole work in 26.4 days then find the time taken by A and C together to complete the whole work. Note: You have to find approx. value
      A 22 days Correct Answer Incorrect Answer
      B 28 days Correct Answer Incorrect Answer
      C 39 days Correct Answer Incorrect Answer
      D 37 days Correct Answer Incorrect Answer
      E 60 days Correct Answer Incorrect Answer

      Solution

      Time taken by A, B and C together to complete the whole work = 26.4/0.80 = 33 days
      Let total amount of work = 330 (LCM of 55, 66 and 33)
      Efficiency of (A + B) = 330/55 = 6 units per day
      Efficiency of (B + C) = 330/66 = 5 units per day
      Efficiency of (A + B + C) = 330/33 = 10 units per day
      Efficiency of A = 10 – 5 = 5 units per day
      Efficiency of C = 10 – 6 = 4 units per day
      Desired time = 330/9 = 36.6 days = 37 days

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