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      Question

      A and B together can complete a piece of

      work in 40 days while B and C together can complete the same work in 36 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 122 days Correct Answer Incorrect Answer
      B 128 days Correct Answer Incorrect Answer
      C 50 days Correct Answer Incorrect Answer
      D 142 days Correct Answer Incorrect Answer
      E 160 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 = 3960 (LCM of 40, 36 and 33)
      Efficiency of (A + B) = 3960/40 = 99 units per day
      Efficiency of (B + C) = 3960/36 = 110 units per day
      Efficiency of (A + B + C) = 3960/33 = 120 units per day
      Efficiency of A = 120 – 110 = 10 units per day
      Efficiency of C = 120 – 99 = 21 units per day
      Desired time = 3960/31 = 127.7 days = 128 days

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