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CUET · MATHS · PYQ PAPER 2025

Pipe A can fill the tank 3 times faster than pipe B. If both pipes A and B running together can fill the tank in 15 minutes, then the time taken by pipe B alone to fill the tank is :

  1. A 42 minutes
  2. B 72 minutes
  3. C 60 minutes
  4. D 48 minutes
Verified Solution

Answer & Solution

Correct Answer

(C) 60 minutes

Step-by-step Solution

Detailed explanation

Let \(t_A\) and \(t_B\) be the times taken by pipe A and B respectively. \(t_A = \frac{t_B}{3}\) \(\frac{1}{t_A} + \frac{1}{t_B} = \frac{1}{15}\) \(\frac{3}{t_B} + \frac{1}{t_B} = \frac{1}{15}\) \(\frac{4}{t_B} = \frac{1}{15}\) \(t_B = 4 \times 15 = 60\) minutes