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: 29

Answer

$3$ mph

Work Step by Step

time = $\displaystyle \frac{\text{distance}}{\text{rate}}$ let x = water current's rate We are given that $\displaystyle \frac{20}{7+x}=\frac{8}{7-x}$ ... multiply with the LCD, $(7-x)(7+x)$ $20(7-x)=8 (7+x)$ $ 140-20x=56+8x \qquad$ ... add $20x-56$ $140-56=8x+20x$ $ 84=28x\qquad$ ...$ /\div 28$ $3=x$
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