A tank contains 1000 L of pure water. Brine that contains 0.05 kg of salt per liter of water enters the tank at a rate of 5 L/min. Brine that contains 0.04 kg of salt per liter of water enters the tank at a rate of 10 L/min. The solution is kept thoroughly mixed and drains rom the tank at a rate of 15 L/min. (a) How much salt is in the tank after t minutes? kg (b) How much salt is in the tank after 80 minutes? (Round the answer to one decimal place.) kg

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.2: Applied Problems
Problem 7E
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A tank contains 1000 L of pure water. Brine that contains 0.05 kg of salt per liter of water enters the tank at a rate of 5 L/min. Brine that contains 0.04 kg of salt per liter of water enters the tank at a rate of 10 L/min. The solution is kept thoroughly mixed and drains
rom the tank at a rate of 15 L/min.
(a) How much salt is in the tank after t minutes?
kg
(b) How much salt is in the tank after 80 minutes? (Round the answer to one decimal place.)
kg
Transcribed Image Text:A tank contains 1000 L of pure water. Brine that contains 0.05 kg of salt per liter of water enters the tank at a rate of 5 L/min. Brine that contains 0.04 kg of salt per liter of water enters the tank at a rate of 10 L/min. The solution is kept thoroughly mixed and drains rom the tank at a rate of 15 L/min. (a) How much salt is in the tank after t minutes? kg (b) How much salt is in the tank after 80 minutes? (Round the answer to one decimal place.) kg
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