SOLUTION: Hi! I'm sure questions like this have been answered many times before, but am at work and not enough time to sort through all the problems! Eep!
The problem is: A distillate flo
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Question 216558: Hi! I'm sure questions like this have been answered many times before, but am at work and not enough time to sort through all the problems! Eep!
The problem is: 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/hour, how many gallons per hour must flow out at spout B so that the drum is full in exactly 96 hours?
Thank you so much!
Lauren
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
So what you are saying is that you don't have enough time to do the work required to research what you want, but we have plenty of time to repeat time and effort previously spent. I guess you must feel the value of your time is much greater than that of any of us.
If spout B were closed, then spout A would fill the 64 gallon drum in 32 hours. That means that spout A fills 
of the tank per hour. We don't know what fraction of the tank spout B empties per hour, so let's just call it 
. We want the tank to fill at a rate of 
per hour. So:
Just solve for 
which will be the number of hours it would take spout B to empty a full tank if spout A were closed. Divide into 64 to get the gallons per hour rate for spout B.
John
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