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      Question

      A2 type ‘P’ pipes can fill

      a tank in 640 hours, while B2 type ‘Q’ pipes can fill the same tank in 490 hours. (10A × 4B) 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 10 hrs Correct Answer Incorrect Answer
      B 15 hrs Correct Answer Incorrect Answer
      C 12 hrs Correct Answer Incorrect Answer
      D 14 hrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      A2 × 640 = B2 × 490
      A2/B2 = 490/640
      A2/B2 = 49/64
      A/B = 7/8
      A = 7B/8
      (10A × 4B) type 'P' pipes = 10 × 7B/8 × 4B = 35B2
      Required time = (B2 × 490)/(35 × B2) = 14 hrs

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