Question

A2 type ‘P’ pipes can fill a tank in 525 hours, while B2 type ‘Q’ pipes can fill the same tank in 756 hours. (9A × 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 9 hrs Correct Answer Incorrect Answer
D 14 hrs Correct Answer Incorrect Answer

Solution

A2 × 525 = B2 × 756 A2/B2 = 756/525 A2/B2 = 36/25 A/B = 6/5 A = 6B/5 (9A × 5B) type 'P' pipes = 9 × 6B/5 × 5B = 54 B2 Required time = (B2 × 756)/(54 × B2) = 14 hrs

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