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: 30

Answer

$2$ mph

Work Step by Step

time = $\displaystyle \frac{\text{distance}}{\text{rate}}$ let x = water current's rate We are given that $\displaystyle \frac{30}{8+x}=\frac{18}{8-x}$ ... multiply with the LCD, $(8-x)(8+x)$ $30(8-x)=18 (8+x)$ $ 240-30x=144+18x \qquad$ ... add $30x-144$ $240-144=18x+30x$ $ 96=48x\qquad$ ...$ /\div 48$ $2=x$ water current's rate = $2$ mph
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