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      Question

      A and B together can complete a piece of

      work in 46 days while B and C together can complete the same work in 52 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 = 39468 (LCM of 46, 52 and 33)
      Efficiency of (A + B) = 39468/46 = 858 units per day
      Efficiency of (B + C) = 39468/52 = 759 units per day
      Efficiency of (A + B + C) = 39468/33 = 1196 units per day
      Efficiency of A = 1196 – 759 = 437 units per day
      Efficiency of C = 1196 – 858 = 338 units per day
      Desired time = 39468/775 = 50.9 days = 51 days

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