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At 10 p.m., the manager of Grassy's Pub at St. Agnes University realizes that he is...

At 10 p.m., the manager of Grassy's Pub at St. Agnes University realizes that he is in danger running out of beer before the end of the night. He has one keg containing 200 litres of beer with 5% alcohol, but the students are drinking at a rate of 50 litres per hour. To try and prolong his supply he turns on the water tap and leaves it running, adding water to the keg at a rate of 25 litres per hour. Leaving aside the moral and aesthetic issues involved in this scenario, find an equation for the percentage of alcohol as a function of time in the diluted beer he is serving. What will be the concentration when the bar closes at 3 a.m.? (Assume the students continue to drink at the same rate until the bar closes.)

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milcah answered 2 years ago
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