Pipes & Cisterns · Question 13 · Hard

Pipes & Cisterns question 13

Three taps A, B and C can fill a tank in 10, 12 and 15 hours respectively. All three are opened together, and after 2 hours B and C are closed. How many hours in total does it take to fill the tank?

  1. 5 hours
  2. 4 hours
  3. 6 hours
  4. 7 hours
Answer and explanation

Answer: D. 7 hours

Explanation: In the first 2 hours all three fill 2 × (6 + 5 + 4)/60 = 1/2. A alone fills the other 1/2 in 5 hours, so the total is 2 + 5 = 7 hours.

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