Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 6 - Rational Expressions and Equations - 6.7 Applications Using Rational Equations and Proportions - 6.7 Exercise Set - Page 430: 75


$$t=\frac{99}{2}\ hours$$

Work Step by Step

We know that at the end of the time, the bog needs to be full. Thus, letting $t$ be the time it takes to fill, we find: $$ 1=\frac{1}{9}t-\frac{1}{11}t\\ \frac{1}{9}t\cdot \:99-\frac{1}{11}t\cdot \:99=1\cdot \:99 \\ 2t=99\\ t=\frac{99}{2}\ hours$$
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