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      Question

      Two pipes, A and B, can independently fill the tank in

      20 minutes and 25 minutes respectively, while pipe C can empty 7 gallons from the tank in 5 minutes. If all three pipes are operated simultaneously, and they manage to fill the tank in 12 minutes, what is the tank's capacity?
      A 120 Correct Answer Incorrect Answer
      B 100 Correct Answer Incorrect Answer
      C 200 Correct Answer Incorrect Answer
      D 210 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Taking LCM of 20, 25 and 12 = 300 Efficiency of A = 15 Efficiency of B = 12 Efficiency of (A+B-C) = 25 Efficiency of C = (15 + 12) – 25 = -2 Pipe C empty the tank in = 300/2 = 150 min Capacity of the tank = 150 × (7/5) = 210 gallons

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