Initially a tank is filled up with 150 gallons of water in which 300 lb of salt is dissolved. Brine with concentration of 1 lb/gal enters the tank at a rate of 5 gal/min. The solution in the tank is kept well-stirred and flows out of the tank at a rate of 3 gal/min. (a) Find the minimum amount of salt in the tank. (b) Find the time taken to reach the minimum amount.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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4. Initially a tank is filled up with 150 gallons of water in which 300 lb of salt is dissolved.
Brine with concentration of 1 lb/gal enters the tank at a rate of 5 gal/min. The solution
in the tank is kept well-stirred and flows out of the tank at a rate of 3 gal/min.
(a) Find the minimum amount of salt in the tank.
(b) Find the time taken to reach the minimum amount.
Transcribed Image Text:4. Initially a tank is filled up with 150 gallons of water in which 300 lb of salt is dissolved. Brine with concentration of 1 lb/gal enters the tank at a rate of 5 gal/min. The solution in the tank is kept well-stirred and flows out of the tank at a rate of 3 gal/min. (a) Find the minimum amount of salt in the tank. (b) Find the time taken to reach the minimum amount.
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