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      Question

      Pipe A can fill a tank in 6 hours, and Pipe B can fill

      it in 8 hours. Pipe C can empty the tank in 10 hours. If all three pipes are opened simultaneously, how long will it take to fill the tank?
      A 4.5 hours Correct Answer Incorrect Answer
      B 5.22 hours Correct Answer Incorrect Answer
      C 6.5 hours Correct Answer Incorrect Answer
      D 7.4 hours Correct Answer Incorrect Answer
      E 8 hours Correct Answer Incorrect Answer

      Solution

      Rate of Pipe A = 1/6, Rate of Pipe B = 1/8, Rate of Pipe C = -1/10 Net rate when all three are open = 1/6 + 1/8 - 1/10 Net rate = (40 + 30 - 24) / 240 = 46 / 240 = 23 / 120 Time to fill the tank = 1 / (Net rate) = 120 / 23 ≈ 5.22 hours  Correct Option: b) 5.22 hours

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