Single correct option
Pipe A alone fills a tank in 12 minutes, pipe B alone fills it in 15 minutes, and pipe C alone empties a full tank in 10 minutes. Starting with an empty tank, all three pipes are opened together. In how many minutes will the tank be full?
- A. 15
- B. 18
- C. 20
- D. 24
Show answer and solution
Answer: (C) 20
Take tank capacity = 60 units (LCM of 12, 15, 10).
A fills 5 units/min, B fills 4 units/min, C empties 6 units/min.
Net = 5 + 4 − 6 = 3 units/min, so the tank fills in 60/3 = 20 minutes.
A fills 5 units/min, B fills 4 units/min, C empties 6 units/min.
Net = 5 + 4 − 6 = 3 units/min, so the tank fills in 60/3 = 20 minutes.
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