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CUET · MATHS · PYQ PAPER 2025

Pipe A and B can fill a tank in 15 hours and 20 hours respectively. Pipe C can empty the tank in 25 hours. Pipes A, B and C work together but pipe C is closed after 10 hours, then the time taken by pipe A and B to fill the remaining tank is:

  1. A 12 hours
  2. B 2 hours
  3. C 8 hours
  4. D 4 hours
Verified Solution

Answer & Solution

Correct Answer

(B) 2 hours

Step-by-step Solution

Detailed explanation

Net rate of A, B and C \( = \frac{1}{15} + \frac{1}{20} - \frac{1}{25} = \frac{20+15-12}{300} = \frac{23}{300} \) tank/hour. Tank filled in 10 hours \( = \frac{23}{300} \times 10 = \frac{23}{30} \). Remaining tank \( = 1 - \frac{23}{30} = \frac{7}{30} \). Combined rate of A and…