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      Question

      A2 type ‘P’ pipes can fill

      a tank in 540 hours, while B2 type ‘Q’ pipes can fill the same tank in 735 hours. (6A × 3B) 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 30 hrs Correct Answer Incorrect Answer
      B 35 hrs Correct Answer Incorrect Answer
      C 32 hrs Correct Answer Incorrect Answer
      D 38 hrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      A2 x 540 = B2 × 735
      A2/B2 = 735/540
      A2/B2 = 49/36
      A/B = 7/6
      A = 7B/6
      (6A × 3B) type 'P' pipes = 6 × 7B/6 × 3B = 21B2
      Required time = (B2 × 735)/(21 × B2) = 35 hrs

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