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      Question

      A and B together, B and C together and A and C

      together can complete a piece of work in 12 days, 11 days and 9 days respectively. Find the ratio of the efficiencies of A, B and C, respectively.
      A 19:26:16 Correct Answer Incorrect Answer
      B 41:19:14 Correct Answer Incorrect Answer
      C 26:29:4 Correct Answer Incorrect Answer
      D 41:25:47 Correct Answer Incorrect Answer
      E 22:48:43 Correct Answer Incorrect Answer

      Solution

      Let, the total work be 396 units (LCM of 12, 11 and 9)
      Amount of work done by A and B together in one day = 396/12 = 33 units
      Amount of work done by B and C together in one day = 396/11 = 36 units
      Amount of work done by A and C together in one day = 396/9 = 44 units
      Amount of work done by A, B and C together in one day = (33 + 36 + 44)/2 = 56.5 units
      Amount of work done by A alone in one day = 56.5 – 36 = 20.5 units
      Amount of work done by B alone in one day = 56.5 – 44 = 12.5 units
      Amount of work done by C alone in one day = 56.5 – 33 = 23.5 units
      So the desired ratio = 41:25:47

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