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      Question

      Pipe A can fill a cistern in 18 hours. Pipes A and B

      together can fill it in 12 hours, while Pipes B and C together can fill it in 9 hours. In how many hours will all three pipes A, B and C together fill the cistern?
      A 2 hrs Correct Answer Incorrect Answer
      B 7 hrs Correct Answer Incorrect Answer
      C 6 hrs Correct Answer Incorrect Answer
      D 10 hrs Correct Answer Incorrect Answer

      Solution

      ATQ, A = 1/18 A + B = 1/12 B = 1/12 – 1/18 B = (3 – 2)/36 B = 1/36 B + C = 1/9 C = 1/9 – 1/36 C = (4 – 1)/36 C = 3/36 = 1/12 A + B + C = 1/18 + 1/36 + 1/12 = (2 + 1 + 3)/36 = 6/36 = 1/6 Required time = 6 hours

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