Question
Two pipes, A and B, can independently fill the tank in
25 minutes and 30 minutes respectively, while pipe C can empty 8 gallons from the tank in 4 minutes. If all three pipes are operated simultaneously, and they manage to fill the tank in 15 minutes, what is the tank's capacity?Solution
Taking LCM of 25, 30 and 15 = 150 Efficiency of A = 6 Efficiency of B = 5 Efficiency of (A+B-C) = 10 Efficiency of C = (6 + 5) – 10 = -1 Pipe C empty the tank in = 150/1 = 150 min Capacity of the tank = 150 × (8/4) = 300 gallons
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