Pipe A fills a tank in 6 hours and pipe B fills it in 9 hours. A drain C empties a full tank in 18 hours. With all three open on an empty tank, C is closed after 2 hours. How long does the whole filling take?

Answer and explanation

Correct answer: D. 4 hours in total

  1. Step 1: With all three open the net rate is of the tank per hour, so 2 hours fill .
  2. Step 2: Without C the rate is , and the remaining takes hours.
  3. Step 3: Add the phases: hours.
Answer
4 hours in total.
Why not the others: 4 hours 30 minutes forgets that C stops draining; 3 hours 20 minutes ignores the drain in the first phase; 5 hours keeps the drain open throughout.

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