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A tank initially contains 100 gal of pure water. Starting at time t = 0, a brine containing 6lb of dissolved salt per gallon flows into the tank at the rate of 8gal/min is kept uniform by stirring and the well-stirred mixture simultaneously flows out of the tank at a slower rate of 4gal/min. 1. How much salt is in the tank at the end of 20 min? 2. When is there 50 lb of salt in the tank?

A tank initially contains 100 gal of pure water. Starting at time t = 0, a brine containing 6lb of dissolved salt per gallon flows into the tank at the rate of 8gal/min is kept uniform by stirring and the well-stirred mixture simultaneously flows out of the tank at a slower rate of 4gal/min. 1. How much salt is in the tank at the end of 20 min? 2. When is there 50 lb of salt in the tank?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 15T
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Situation 2 A tank initially contains 100 gal of pure water. Starting at time t = 0, a brine containing 6lb of dissolved salt per gallon flows into the tank at the rate of 8gal/min is kept uniform by stirring and the well-stirred mixture simultaneously flows out of the tank at a slower rate of 4gal/min. 1. How much salt is in the tank at the end of 20 min? 2. When is there 50 lb of salt in the tank?
Transcribed Image Text:Situation 2 A tank initially contains 100 gal of pure water. Starting at time t = 0, a brine containing 6lb of dissolved salt per gallon flows into the tank at the rate of 8gal/min is kept uniform by stirring and the well-stirred mixture simultaneously flows out of the tank at a slower rate of 4gal/min. 1. How much salt is in the tank at the end of 20 min? 2. When is there 50 lb of salt in the tank?
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