Two 1000 gallon tanks, T1 and T2 initially each contain 100 gallons of salt solution. An external source pumps 2 pounds of salt per gallon at 8 gallons a minute into T1. An external source also pumps 1 pound of salt water at 6 gallons a minute into T2. The solution is then pumped from T1 into T2 at 3 gallons per minute. The solution also is pumped from T2 to T1 at 2 gallons per minute. Both tanks are then drained at 4 gallons/minute. Let S1(t) and S2(t) be the pounds of salt with respect to time at t greater than 0. Find a system of equations for S1(t) and S2(t).
Two 1000 gallon tanks, T1 and T2 initially each contain 100 gallons of salt solution. An external source pumps 2 pounds of salt per gallon at 8 gallons a minute into T1. An external source also pumps 1 pound of salt water at 6 gallons a minute into T2. The solution is then pumped from T1 into T2 at 3 gallons per minute. The solution also is pumped from T2 to T1 at 2 gallons per minute. Both tanks are then drained at 4 gallons/minute. Let S1(t) and S2(t) be the pounds of salt with respect to time at t greater than 0. Find a system of equations for S1(t) and S2(t).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 8T
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Two 1000 gallon tanks, T1 and T2 initially each contain 100 gallons of salt solution.
An external source pumps 2 pounds of salt per gallon at 8 gallons a minute into T1.
An external source also pumps 1 pound of salt water at 6 gallons a minute into T2.
The solution is then pumped from T1 into T2 at 3 gallons per minute.
The solution also is pumped from T2 to T1 at 2 gallons per minute.
Both tanks are then drained at 4 gallons/minute.
Let S1(t) and S2(t) be the pounds of salt with respect to time at t greater than 0. Find a system of equations for S1(t) and S2(t).
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