Carcass wrote:
A distillate flows into an empty 64-gallon drum at spout A and out of the drum at spout B. If the rate of flow through A is 2 gallons per hour, how many gallons per hour must flow out at spout B so that the drum is full in exactly 96 hours?
(A) \(\frac{3}{8}\)
(B) \(\frac{1}{2}\)
(C) \(\frac{2}{3}\)
(D) \(\frac{4}{3}\)
(E) \(\frac{8}{3}\)
Let x = rate at which water is flowing out from B
so Net rate =\(2 - x\)
SInce we know
Amount of work = Rate * time
or \(64 = (2-x) * 96\)
or \(64 = 192 - 96x\)
or\(x = \frac{128}{96} = \frac{4}{3}\)
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73% (01:50) correct
