SOLUTION: 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 ou

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Question 147255: 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?
Answer by nerdybill(7384) About Me  (Show Source):
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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?
.
64 gal drum
outgoing flow is 2 gal/hr
incoming flow ?
fill in 96 hrs.
.
Let x = rate of incoming flow (spout B)
.
gallons (amt entering or leaving) = rate * time
.
96(x-2) = 64
96x-192 = 64
96x = 256
x = 2.6667 gal/hr (or, 2 2/3 gallons per hour)