A 100-gal tank contains 40 gal of an alcohol-water solution 2 gal of which is alcohol. A solution containing 0.5 gal alcohol/gal runs into the tank at a rate of 3 gal/min and the well-stirred mixture leaves the tank at a rate of 2 gal/min.
a) How many gallons of alcohol are in the tank after 10 minutes?
b) How many gallons of alcohol are in the tank when it overflows?
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