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A tank initially contains 90 gal of pure water. Brine containing 2 lb of salt per gallon enters the tank at 2 gal/min, and the (perfectly mixed) solution leaves the tank at 3 gal/min. Thus, the tank is empty after exactly 1.5 h. (a) Find the amount of salt in the tank after t minutes. (b) What is the maximum amount of salt ever in the tank? (a) The amount of salt x in the tank after t minutes is x = (b) The maximum amount of salt in the tank was about (1) (Type an integer or decimal rounded to two decimal places as needed.) (1) O lb. O gal.

A tank initially contains 90 gal of pure water. Brine containing 2 lb of salt per gallon enters the tank at 2 gal/min, and the (perfectly mixed) solution leaves the tank at 3 gal/min. Thus, the tank is empty after exactly 1.5 h. (a) Find the amount of salt in the tank after t minutes. (b) What is the maximum amount of salt ever in the tank? (a) The amount of salt x in the tank after t minutes is x = (b) The maximum amount of salt in the tank was about (1) (Type an integer or decimal rounded to two decimal places as needed.) (1) O lb. O gal.

Advanced Engineering Mathematics
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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A tank initially contains 90 gal of pure water. Brine containing 2 lb of salt per gallon enters the tank at 2 gal/min, and the (perfectly mixed) solution leaves the tank at 3 gal/min. Thus, the tank is empty after exactly 1.5 h. (a) Find the amount of salt in the tank after t minutes. (b) What is the maximum amount of salt ever in the tank? (a) The amount of salt x in the tank after t minutes is x = (b) The maximum amount of salt in the tank was about (1) (Type an integer or decimal rounded to two decimal places as needed.) (1) O lb. O gal.
Transcribed Image Text:A tank initially contains 90 gal of pure water. Brine containing 2 lb of salt per gallon enters the tank at 2 gal/min, and the (perfectly mixed) solution leaves the tank at 3 gal/min. Thus, the tank is empty after exactly 1.5 h. (a) Find the amount of salt in the tank after t minutes. (b) What is the maximum amount of salt ever in the tank? (a) The amount of salt x in the tank after t minutes is x = (b) The maximum amount of salt in the tank was about (1) (Type an integer or decimal rounded to two decimal places as needed.) (1) O lb. O gal.
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