CUET · MATHS · PYQ PAPER 2025
A pipe A can fill a tank in 4 hours. There are two outlet pipes, B and C, from the tank which can empty it in 8 and 10 hours respectively. If all the three pipes are opened simultaneously, how long will it take to fill the tank?
- A 30 hours
- B 40 hours
- C 45 hours
- D 50 hours
Answer & Solution
Correct Answer
(B) 40 hours
Step-by-step Solution
Detailed explanation
Combined rate \( = \frac{1}{4} - \frac{1}{8} - \frac{1}{10} \) \( = \frac{10 - 5 - 4}{40} = \frac{1}{40} \) (tank/hour) Time \( = \frac{1}{1/40} = 40 \) hours
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