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Question 151512: A 120-gallon tub has a drain which, when open, drains water at the rate of 6 gallons per minute. If the tub is empty and the drain is open, at what rate, in gallons of water per minute, must water be added to the tub so that it fills in exactly 1 hour?
Answer by Earlsdon(6294)   (Show Source):
You can put this solution on YOUR website! Let's see...
If the drain were closed and you wanted to fill the 120-gallon tub in 1 hour (= 60 minutes), then the input rate would have to be 120 gallons per hour or 2 gallons per minute.
Now if, simultaneously, the open drain removed the water at the rate of 6 gallons per minute, then you would need to add 6 gallons more per minute more the make up the deficit.
Let x = the rate at which you need to add the water.
x gals/min - 6 gals/min = 2 gals per min.
x-6 = 2 Add 6 to both sides.
x = 8
You would need to add water at the rate of 8 gallons per minute to fill the 120-gallon tub in 1 hour with the 6-gallon per minute drain open.
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