Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.6 Other Types of Equations and Applications - 1.6 Exercises - Page 147: 44

Answer

$4.5\ min$

Work Step by Step

Step 1. The taps would fill $1/5$ of the sink per minute. Step 2. The drain would empty $1/10$ of sink per minute. Step 3. Together, they would fill $1/5-1/10=1/10$ of the sink per minute. Step 4. After one minute, the sink would be $1-1/10=9/10$ empty. Step 5. With the taps, it will take $5(\frac{9}{10})=4.5\ min$ more to fill the sink.
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