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Fill pipe P is 21 times faster than fill pipe Q. If Q can fill a cistern in 110 minutes, find the time it takes to fill the cistern when both fill pipes are opened together.

SSC · 2024 · Quantitative Aptitude
Question:
Fill pipe P is 21 times faster than fill pipe Q. If Q can fill a cistern in 110 minutes, find the time it takes to fill the cistern when both fill pipes are opened together.

Options

(1) 5 minutes
(2) 4 minutes
(3) 3 minutes
(4) 6 minutes
Answer: (1) 5 minutes

Explanation:
P fills in 110/21 minutes. Combined rate: 21/110 + 1/110 = 22/110. Time = 110/22 = 5 minutes

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