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: 11

Answer

The traveler's speed off the walkway is 4ft/s, and the speed of the moving walkway is 2ft/s.

Work Step by Step

Let x = the traveler's speed off the walkway and let y = the speed of the moving walkway. We have the system: $x-y=2$ $x+y=6$ Use elimination to solve for x. $2x=8$ $x=4$ $\rightarrow y=2$ The traveler's speed off the walkway is 4ft/s, and the speed of the moving walkway is 2ft/s.
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