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      Question

      A and B together can complete a piece of

      work in 44 days while B and C together can complete the same work in 55 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 51 days Correct Answer Incorrect Answer
      B 57 days Correct Answer Incorrect Answer
      C 50 days Correct Answer Incorrect Answer
      D 44 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 = 660 (LCM of 44, 55 and 33)
      Efficiency of (A + B) = 660/44 = 15 units per day
      Efficiency of (B + C) = 660/55 = 12 units per day
      Efficiency of (A + B + C) = 660/33 = 20 units per day
      Efficiency of A = 20 – 12 = 8 units per day
      Efficiency of C = 20 – 15 = 5 units per day
      Desired time = 660/13 = 50.7 days = 51 days

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