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      Question

      A and B together can complete a piece of

      work in 66 days while B and C together can complete the same work in 50 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 42 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 = 1650 (LCM of 66, 50 and 33)
      Efficiency of (A + B) = 1650/66 = 25 units per day
      Efficiency of (B + C) = 1650/50 = 33 units per day
      Efficiency of (A + B + C) = 1650/33 = 50 units per day
      Efficiency of A = 50 – 33 = 17 units per day
      Efficiency of C = 50 – 25 = 25 units per day
      Desired time = 1650/42 = 39.3 days = 39 days

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