Question
Two pipes, A and B, can independently fill the tank in
18 minutes and 20 minutes respectively, while pipe C can empty 8 gallons from the tank in 3 minutes. If all three pipes are operated simultaneously, and they manage to fill the tank in 12 minutes, what is the tank's capacity?Solution
Taking LCM of 18, 20 and 12 =180 Efficiency of A = 10 Efficiency of B = 9 Efficiency of (A+B-C) = 15 Efficiency of C = (10 + 9) – 15 = -4 Pipe C empty the tank in = 180/4 = 45 min Capacity of the tank = 45 × (8/3) = 120 gallons
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