A tank containing chocolate milk initially contains a mixture of 460 gallons of milk and 40 gallons of chocolate syrup. Milk is added to the tank at the rate of 8 gallons per minute and syrup is added at a rate of 2 gallons per minute. At the same time, chocolate milk is withdrawn at a rate of 10 gallons per minute. Assuming perfect mixing of milk and syrup, determine how much syrup will be in the tank after 10 minutes.
A tank containing chocolate milk initially contains a mixture of 460 gallons of milk and 40 gallons of chocolate syrup. Milk is added to the tank at the rate of 8 gallons per minute and syrup is added at a rate of 2 gallons per minute. At the same time, chocolate milk is withdrawn at a rate of 10 gallons per minute. Assuming perfect mixing of milk and syrup, determine how much syrup will be in the tank after 10 minutes.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A tank containing chocolate milk initially contains a mixture of 460 gallons of milk and 40
gallons of chocolate syrup. Milk is added to the tank at the rate of 8 gallons per minute and
syrup is added at a rate of 2 gallons per minute. At the same time, chocolate milk is
withdrawn at a rate of 10 gallons per minute. Assuming perfect mixing of milk and syrup,
determine how much syrup will be in the tank after 10 minutes.
O A. 55.50 gal.
O B. None of the choices
O C. 50.88 gal.
O D. 60.23 gal.
O E. 23.90 gal.
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