Pipes & Cisterns · Question 8 · Medium

Pipes & Cisterns question 8

Pipes P and Q can fill a tank in 12 hours and 18 hours. Both are opened for 4 hours, then P is closed. How much longer will Q take to fill the tank?

  1. 6 hours
  2. 8 hours
  3. 9 hours
  4. 10 hours
Answer and explanation

Answer: B. 8 hours

Explanation: In 4 hours both fill 4 × (1/12 + 1/18) = 4 × 5/36 = 5/9. Q fills the remaining 4/9 at 1/18 per hour in 8 hours.

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