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      Question

      Pipe A fills a tank in 8 hours, Pipe B fills it in 12

      hours, and Pipe C empties it in 24 hours. If all are opened together, how long will it take to fill the tank?
      A 18 hrs Correct Answer Incorrect Answer
      B 10 hrs Correct Answer Incorrect Answer
      C 6 hrs Correct Answer Incorrect Answer
      D 9 hrs Correct Answer Incorrect Answer

      Solution

      Net rate = 1/8 + 1/12 - 1/24 LCM = 24 1/8 = 3/24 1/12 = 2/24 -1/24 = -1/24 Net = (3+2-1)/24 = 4/24 = 1/6 Time = 6 hours

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