Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 4 - Section 4.4 - Systems of Linear Equations and Problem Solving - Practice - Page 315: 3

Answer

faster car is 78 1/3 mph, slower car is 68 1/3 mph

Work Step by Step

rate * time = distance faster car: rate of $x$, time is 3 hours slower car: rate of $y$, time is 3 hours distance between cars is 440 miles faster car is 10 miles per hour faster $3x+3y=440$ $y=x+10$ $3x+3y=440$ $3x+3(x+10)=440$ $3x+3x+30=440$ $6x + 30=440$ $6x=410$ $6x/6 =410/6$ $x= 68.3333$ $y=x+10$ $y=68.333+10$ $y=78.333
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