A tank contains 100 liters of pure water. Brine with 30 grams of salt per liter flows in at the rate of 2 liters per minute. The thoroughly stirred mixture then flows out at the rate of 3 liters per minute. (a) Find the amount of salt in the tank when the brine in it has been reduced to 50 liters. (b) When is the amount of salt in the tank greatest?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A tank contains 100 liters of pure water. Brine with 30
grams of salt per liter flows in at the rate of 2 liters per
minute. The thoroughly stirred mixture then flows out at
the rate of 3 liters per minute. (a) Find the amount of salt
in the tank when the brine in it has been reduced to 50
liters. (b) When is the amount of salt in the tank greatest?
Transcribed Image Text:A tank contains 100 liters of pure water. Brine with 30 grams of salt per liter flows in at the rate of 2 liters per minute. The thoroughly stirred mixture then flows out at the rate of 3 liters per minute. (a) Find the amount of salt in the tank when the brine in it has been reduced to 50 liters. (b) When is the amount of salt in the tank greatest?
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