A water filling Pipe P is 5 times as fast as a second Pipe Q . If P fills a cistern in 30 minutes, how long will it take to fill the tank when both pi - Mathematics MCQ Mathematics Mock Test - 8 2026 | ExamTest.live

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A water filling Pipe P is 5 times as fast as a second Pipe Q . If P fills a cistern in 30 minutes, how long will it take to fill the tank when both pipes are operated simultaneously?

Solution & Step-by-step Explanation

Let the rate of Pipe Q be x units/min.Then the rate of Pipe P = 5 x units/min.Time taken by P = 30 min .Total Capacity of tank = Rate \times Time = 5 x \times 30 = 150 x units.Combined rate of P and Q = 5 x + x = 6 x units/min.Time taken by both = \frac{Total Capacity}{Combined Rate} = \frac{150 x}{6 x} = 25 min .

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A water filling Pipe P is 5 times as fast as a second Pipe Q . If P fills a cistern in 30 minutes, how long will it take to fill the tank when both pipes are operated simultaneously?

27 min

26 min

28 min

25 min

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