Question
Two pipes, A and B, can independently fill the tank in
24 minutes and 30 minutes respectively, while pipe C can empty 9 gallons from the tank in 3 minutes. If all three pipes are operated simultaneously, and they manage to fill the tank in 20 minutes, what is the tank's capacity?Solution
Taking LCM of 24, 30 and 20 = 120 Efficiency of A = 5 Efficiency of B = 4 Efficiency of (A+B-C) = 6 Efficiency of C = (5 + 4) – 6 = -3 Pipe C empty the tank in = 120/3 = 40 min Capacity of the tank = 40 × (9/3) = 120 gallons
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