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Problem 2. A 1200-gallon tank initially contains 40 pounds of salt dissolved in 600 gallons of water. Starting at to = 0, water that contains 1/2 pound of salt per gallon is added to the tank at the rate of 6 gal/min and the resulting mixture is drained from the tank at 4 gal/min. Find the quantity Q(t) of salt in the tank at any time t > 0 prior to overflow.

Problem 2. A 1200-gallon tank initially contains 40 pounds of salt dissolved in 600 gallons of water. Starting at to = 0, water that contains 1/2 pound of salt per gallon is added to the tank at the rate of 6 gal/min and the resulting mixture is drained from the tank at 4 gal/min. Find the quantity Q(t) of salt in the tank at any time t > 0 prior to overflow.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.5: Equations With The Variable On Both Sides
Problem 16P
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Problem 2. A 1200-gallon tank initially contains 40 pounds of salt dissolved in 600 gallons of water. Starting at to = 0, water that contains 1/2 pound of salt per gallon is added to the tank at the rate of 6 gal/min and the resulting mixture is drained from the tank at 4 gal/min. Find the quantity Q(t) of salt in the tank at any time t > 0 prior to overflow.
Transcribed Image Text:Problem 2. A 1200-gallon tank initially contains 40 pounds of salt dissolved in 600 gallons of water. Starting at to = 0, water that contains 1/2 pound of salt per gallon is added to the tank at the rate of 6 gal/min and the resulting mixture is drained from the tank at 4 gal/min. Find the quantity Q(t) of salt in the tank at any time t > 0 prior to overflow.
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