Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 11 - Rational Expressions and Functions - 11-5 Solving Rational Equations - Practice and Problem-Solving Exercises - Page 684: 44

Answer

$40$ mi/hour

Work Step by Step

Given: $\dfrac{980}{450+s}=\dfrac{820}{450-s}$ Apply cross multiplication. $820(450+s)=980(450-s)$ $410(450+s)=490(450-s)$ $184500+410s=220500-490s$ $410s+490s=220500-184500$ $ 900s=36000$ Thus, $s=\frac{36000}{80}$ Hence, $s=40$ mi/hour
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