At 12:00 p.m. a tank contains 150 g of salt dissolved in 8 L of water. Pure water begins flowing into the tank at a rate of 2 L per hour and the well-mixed solution flows out of the tank at a rate of 3 L per hour. At What time will the tank contain 100 g of salt (or will the tank empty before this happens)?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.6: Solving Problems Involving Quadratic Equations
Problem 1.3E
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1. At 12:00 p.m. a tank contains 150 g of salt dissolved in 8 L of water. Pure water begins flowing into
the tank at a rate of 2 L per hour and the well-mixed solution flows out of the tank at a rate of 3 L per
hour. At What time will the tank contain 100 g of salt (or will the tank empty before this happens)?
2. At 12:00 p.m. the next day, another tank contains 150 g of salt dissolved in 8 L of water. Water
containing 10 g of salt per L begins flowing into the tank at a rate of 2 L per hour and the well-mixed
solution flows out of the tank at the same rate. At What time will the tank contain 100 g of salt (or
will this never happen)?
Transcribed Image Text:1. At 12:00 p.m. a tank contains 150 g of salt dissolved in 8 L of water. Pure water begins flowing into the tank at a rate of 2 L per hour and the well-mixed solution flows out of the tank at a rate of 3 L per hour. At What time will the tank contain 100 g of salt (or will the tank empty before this happens)? 2. At 12:00 p.m. the next day, another tank contains 150 g of salt dissolved in 8 L of water. Water containing 10 g of salt per L begins flowing into the tank at a rate of 2 L per hour and the well-mixed solution flows out of the tank at the same rate. At What time will the tank contain 100 g of salt (or will this never happen)?
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