1. A tank contains 400 liters of fresh water. Brine containing 0.3 kg/liter of salt runs into the tank at the rate of 5 liters/minute. The mixture, kept uniform by stirring, runs out at 10 liters/minute. Find the maximum amount of salt in the tank and the time required to reach the maximum.

1. A tank contains 400 liters of fresh water. Brine containing 0.3 kg/liter of salt runs into the tank at the rate of 5 liters/minute. The mixture, kept uniform by stirring, runs out at 10 liters/minute. Find the maximum amount of salt in the tank and the time required to reach the maximum.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...

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Question

1. A tank contains 400 liters of fresh water. Brine containing 0.3 kg/liter of
salt runs into the tank at the rate of 5 liters/minute. The mixture, kept
uniform by stirring, runs out at 10 liters/minute. Find the maximum amount
of salt in the tank and the time required to reach the maximum.

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