SOLUTION: a bathtub contains 20 gallons of water and is filling at a rate of 2.4 gallons per minute but the drain is open and water drains at a rate of 3.1 gallons per minute when will you d

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Question 777639: a bathtub contains 20 gallons of water and is filling at a rate of 2.4 gallons per minute but the drain is open and water drains at a rate of 3.1 gallons per minute when will you discover the bathtub is empty?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add the rate that the tub is filling to
the rate that it is emptying
------------------------
Let +t+ = time in minutes to empty the tub
I can say:
+2.4t+-+3.1t+=+-20+
Note that the +-20+ means that I end up
draining the tub and not filling it
+-.7t+=+-20+
+t+=+20%2F.7+
+t+=+28.571+| min
+.571%2A60+=+34+
The bathtub is empty in 28 min 34 sec