Question
Pipe A and Pipe B could fill a tank together in 40 hours
and 16 hours respectively, while pipe C could empty it in 20 hours. If both inlet pipes are opened together for first 4 hours, then pipe C replaced them. Find the time taken by pipe C to empty the tank filled by pipe A and pipe B together.Solution
Let the capacity of the tank be 80 units. (LCM of 40, 16 and 20)
Efficiency of pipe A = 80/40 = 2 units/hr
Efficiency of pipe B = 80/16 = 5 units/hr
Efficiency of pipe C = 80/20 = –4 units/hr ATQ,
Tank filled by pipe A and B together in 4 hours = (2 + 5) × 4 = 28 units
Required time = 28/4 = 7 hr
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