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# A distillate flows into an empty 64-gallon drum at spout A a

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A distillate flows into an empty 64-gallon drum at spout A a [#permalink]  26 Aug 2018, 04:41
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Question Stats:

66% (02:02) correct 33% (01:49) wrong based on 12 sessions
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) $$\frac{8}{3}$$
[Reveal] Spoiler: OA

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Re: A distillate flows into an empty 64-gallon drum at spout A a [#permalink]  26 Aug 2018, 06:10
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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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Re: A distillate flows into an empty 64-gallon drum at spout A a   [#permalink] 26 Aug 2018, 06:10
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