Question
Pipe A fills a tank in 15 hours, Pipe B fills it in 10
hours, and Pipe C empties it in 30 hours. If all three are opened together, in how much time will the tank be filled?Solution
ATQ, A's rate = 1/15 B's rate = 1/10 C's rate = -1/30 Net rate = 1/15 + 1/10 - 1/30 = 2/30 + 3/30 - 1/30 = 4/30 = 2/15 Time = 15/2 hours = 7.5 hours = 7 hours 30 minutes
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