1. A large tank holds 100 gallons of fluid in which 10 pounds of salt is dissolved. A mixture containing 2 lb. of salt per gallon flows into the tank at the rate of 6 gal./min. and the well-stirred mixture flows out of the tank at the rate of 4 gal./min. a.) How many gallons of solution are in the tank after 10 minutes? After 1 hour? b.) How much salt is in the tank after 10 minutes? After 1hour? c.) In how many minutes will the tank contain 40 pounds of salt?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Mixture Differential equation

1. A large tank holds 100 gallons of fluid in which 10 pounds of
salt is dissolved. A mixture containing 2 Ib. of salt per gallon
flows into the tank at the rate of 6 gal./min. and the well-stirred
mixture flows out of the tank at the rate of 4 gal./min.
a.) How many gallons of solution are in the tank after 10 minutes? After
1 hour?
b.) How much salt is in the tank after 10 minutes? After 1hour?
c.) In how many minutes will the tank contain 40 pounds of salt?
Transcribed Image Text:1. A large tank holds 100 gallons of fluid in which 10 pounds of salt is dissolved. A mixture containing 2 Ib. of salt per gallon flows into the tank at the rate of 6 gal./min. and the well-stirred mixture flows out of the tank at the rate of 4 gal./min. a.) How many gallons of solution are in the tank after 10 minutes? After 1 hour? b.) How much salt is in the tank after 10 minutes? After 1hour? c.) In how many minutes will the tank contain 40 pounds of salt?
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