CUET · MATHS · PYQ PAPER 2025
Two pipes A and B can fill a tank in 5 hours and 6 hours respectively. Pipe C can empty the tank in 12 hours. If all three pipes are opened together, find the time taken to fill the tank
- A \(2 \frac{3}{4}\) hours
- B 3 hours
- C 2 hours
- D \(3 \frac{9}{17}\) hours
Answer & Solution
Correct Answer
(D) \(3 \frac{9}{17}\) hours
Step-by-step Solution
Detailed explanation
Combined rate: \( \frac{1}{5} + \frac{1}{6} - \frac{1}{12} = \frac{12+10-5}{60} = \frac{17}{60} \) tank/hour Time to fill: \( \frac{1}{\frac{17}{60}} = \frac{60}{17} = 3 \frac{9}{17} \) hours
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