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      Question

      A2 type ‘P’ pipes can fill

      a tank in 575 hours, while B2 type ‘Q’ pipes can fill the same tank in 828 hours. (12A × 5B) type ‘P’ pipes can fill the same tank in how many hours? (Efficiency of a type P and a type Q pipe is same)
      A 7 hrs Correct Answer Incorrect Answer
      B 6 hrs Correct Answer Incorrect Answer
      C 11.5 hrs Correct Answer Incorrect Answer
      D 14 hrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      A2 × 575 = B2 × 828
      A2/B2 = 828/575
      A2/B2 = 36/25
      A/B = 6/5
      A = 6B/5
      (12A × 5B) type 'P' pipes = 12 × 6B/5 × 5B = 72 B2
      Required time = (B2 × 828)/(72 × B2) = 11.5 hrs

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