SOLUTION: THE ANSWER OF THIS PROBLEM IS 4/3 ACCORDING MY ANSWER SHEET BUT I HAVE NO IDEA HOW TO GET THIS PLEASE HELP ME.A Distillate flows into an empty 64-Gallon drum at spout A and out of

Question 147267: THE ANSWER OF THIS PROBLEM IS 4/3 ACCORDING MY ANSWER SHEET BUT I HAVE NO IDEA HOW TO GET THIS PLEASE HELP ME.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 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 ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=required rate of flow out of the drum
Then 2-x=net rate of flow into the drum (rate of flow in - rate of flow out)
So, our equation to solve is:
(2-x)*96=64 or
192-96x=64
-96x=-192+64
-96x=-128
x= 1/1/3 or 4/3 gal/hr
CK
2-4/3=2/3 gal/hr --net rate of flow into the drum
So, 2/3 * 96=64
64=64

Hope this helps---ptaylor

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