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CUET · MATHS · PYQ PAPER 2023

Pipe A can independently empty a half-filled tank in 3 hours whereas pipe B can alone fill the same tank in 4 hours, when the tank is completely empty. In how much time.

  1. A 2 hours
  2. B 6 hours
  3. C 7 hours
  4. D 12 hours
Verified Solution

Answer & Solution

Correct Answer

(D) 12 hours

Step-by-step Solution

Detailed explanation

\( \text{Rate of emptying by A} = \frac{1/2}{3} = \frac{1}{6} \text{ tank/hr} \) \( \text{Rate of filling by B} = \frac{1}{4} \text{ tank/hr} \) \( \text{Net filling rate} = \frac{1}{4} - \frac{1}{6} = \frac{3-2}{12} = \frac{1}{12} \text{ tank/hr} \)…