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# A distillate flows into an empty 64-gallon drum at spout A and out of

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Math Expert
Joined: 02 Sep 2009
Posts: 49252
A distillate flows into an empty 64-gallon drum at spout A and out of  [#permalink]

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26 Aug 2018, 21:41
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Difficulty:

25% (medium)

Question Stats:

74% (01:48) correct 26% (01:32) wrong based on 34 sessions

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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) $$\frac{8}{3}$$

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Joined: 01 Oct 2017
Posts: 848
WE: Supply Chain Management (Energy and Utilities)
Re: A distillate flows into an empty 64-gallon drum at spout A and out of  [#permalink]

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26 Aug 2018, 22:15

Bunuel 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) $$\frac{8}{3}$$

Rate of inlet flow at spout A=2gallons/hr
Resultant rate of water flow=$$\frac{64 gallon}{96 hours}=\frac{2}{3}$$gallons per hour

We have , rate of water inflow-Rate of water outflow=Resultant rate of water flow
Or, 2-Rate of water outflow=$$\frac{2}{3}$$
Or, Rate of water outflow=2-$$\frac{2}{3}$$=$$\frac{4}{3}$$

Ans. (D)
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Joined: 20 Feb 2017
Posts: 159
Location: India
Concentration: Operations, Strategy
WE: Engineering (Other)
Re: A distillate flows into an empty 64-gallon drum at spout A and out of  [#permalink]

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26 Aug 2018, 22:25
the rate of A =2
let the rate of B = x
the drum is full in exactly 96 hours, hence the capacity = 96*(2-x)
therefore,
96*(2-x) =64
or x= 4/3
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Re: A distillate flows into an empty 64-gallon drum at spout A and out of &nbs [#permalink] 26 Aug 2018, 22:25
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