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      Question

      Pipe A alone fills a tank in 18 hours. Pipes A and B

      together fill it in 9 hours. Pipes B and C together fill it in 6 hours. Find the time taken by A, B and C together to fill the tank.
      A 10 hrs Correct Answer Incorrect Answer
      B 4/3 hrs Correct Answer Incorrect Answer
      C 6/7 hrs Correct Answer Incorrect Answer
      D 9/2 hrs Correct Answer Incorrect Answer

      Solution

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

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