Question
Pipe A fills a tank in 20 minutes and Pipe B fills it in 30 minutes. Pipe C can empty it in 60 minutes. If all three pipes are opened together, in how many minutes will the tank be filled?
Solution
ATQ, A's 1-min work = 1/20 B's 1-min work = 1/30 C's 1-min work = -1/60 Net work per minute = 1/20 + 1/30 - 1/60 = 3/60 + 2/60 - 1/60 = 4/60 = 1/15 So tank fills in 15 minutes
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