Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 6 - Section 6.7 - Formulas and Applications of Rational Equations - Exercise Set - Page 477: 48


$t=4.5$ hours

Work Step by Step

In 1 hour, the first pipe fills $\displaystyle \frac{1}{3}$ of the pool's volume, and the second drains $\displaystyle \frac{1}{9} $ of the pool's volume. In $t$ hours, $\displaystyle \quad\frac{t}{3}-\frac{t}{9} \quad$ of the pool is filled We want the t (in hours) when this equals $\displaystyle \frac{1}{1}$ of pool volume. $\displaystyle \frac{t}{3}-\frac{t}{9}=1\qquad.../\times 9$ $3t-t=9$ $2t=9$ $t=4.5$ hours
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