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 476: 34


$\approx 5.1$ feet per second

Work Step by Step

distance = (rate)$\times$(time) $\Rightarrow$ time = $\displaystyle \frac{\text{distance}}{\text{rate}}$ Let x be the walking speed (rate). We are given: $\displaystyle \frac{105}{x+1.8}=\frac{50}{x-1.8} \qquad$ ... $/\times(x+1.8)(x-1.8)$ $105(x-1.8)=50(x+1.8)$ $ 105x-189=50x+90\qquad$ ... add $189- 50x$ $ 55x=279\qquad$ ...$ /\div 55$ $x\approx 5.072727 \approx 5.1$ feet per second walking speed $\approx 5.1$ feet per second
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