A tank contains 20 gallons of solution, with 10 pounds of chemical z in the solution. At a certain instant solution containing the same chemical with concentration of 2 pounds per gallons is poured into the tank a rate of 5 gallons per minute and simultaneously draining out the mixture solution at the rate of 3 gallo

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 16EQ
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ans for i) 64.39 ii) 15minutes
EXAMPLE 4
A tank contains 20 gallons of solution, with 10 pounds of chemical z in the solution. At a certain instant
solution containing the same chemical with concentration of 2 pounds per gallons is poured into the tank
a rate of 5 gallons per minute and simultaneously draining out the mixture solution at the rate of 3 gallo
per minute. The capacity of the tank 50 gallon.
(i) Find the amount of chemical z in the tank after 10 minutes. - 61.39
(ii) Determine when the tank will be over flow. -
15 minutes
Transcribed Image Text:EXAMPLE 4 A tank contains 20 gallons of solution, with 10 pounds of chemical z in the solution. At a certain instant solution containing the same chemical with concentration of 2 pounds per gallons is poured into the tank a rate of 5 gallons per minute and simultaneously draining out the mixture solution at the rate of 3 gallo per minute. The capacity of the tank 50 gallon. (i) Find the amount of chemical z in the tank after 10 minutes. - 61.39 (ii) Determine when the tank will be over flow. - 15 minutes
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