CUET · MATHS · PYQ PAPER 2023
Pipes A and B can fill a tank in 5 hours and 6 hours respectively. Another Pipe can empty the full tank in 30 hours. If all three pipes are opened together, then the tank will be filled in:
- A 160 minutes
- B 180 minutes
- C 150 minutes
- D 140 minutes
Answer & Solution
Correct Answer
(B) 180 minutes
Step-by-step Solution
Detailed explanation
Combined rate \( = \frac{1}{5} + \frac{1}{6} - \frac{1}{30} = \frac{6+5-1}{30} = \frac{10}{30} = \frac{1}{3} \) tank/hour. Time to fill \( = \frac{1}{1/3} = 3 \) hours. Time in minutes \( = 3 \times 60 = 180 \) minutes.
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