Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 6 - Systems of Equations and Inequalities - 6-4 Applications of Linear Systems - Practice and Problem-Solving Exercises - Page 391: 12

Answer

The person's speed in still water is 5.5 mi/h, and the current speed is 1.5 mi/h.

Work Step by Step

Let x = the person's speed in still water and let y = the speed of the current We have the system: $x-y=4$ $x+y=7$ Use elimination to solve for x. $2x=11$ $x=5.5$ $\rightarrow y=1.5$ The person's speed in still water is 5.5 mi/h, and the current speed is 1.5 mi/h.
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