## Algebra and Trigonometry 10th Edition

Published by Cengage Learning

# Chapter 1 - Review Exercises - Page 153: 44

s = 56

#### Work Step by Step

Let s be equal to the average speed of the car on the trip to home. Formulate and write the equation using the given description. (Time equals distance divided by speed). Use hours, not minutes. 56/(s-8) = 56/s + 1/6 56s = 56(s-8)+s(s-8)/6 $s^2/6-4s/3-448=0$ $s^2-8s+2688=0$ (s-56)(s+48)=0 Speed cannot be negative, so $s=56$.

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