Algebra: A Combined Approach (4th Edition)

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

Chapter 7 - Section 7.6 - Proportions and Problem Solving with Rational Equations - Exercise Set - Page 541: 68

Answer

35 mph and 75 mph

Work Step by Step

car 1: 70 = r*t car 2: 300 = (r+40)*2t $70=r*t$ $70/r = r*t/r$ $70/r =t$ $300 = (r+40)*2t$ $300/2*(r+40) = (r+40)*2t/(r+40)*2$ $150/(r+40) = t$ $70/r = 150/(r+40)$ $150*r = 70*(r+40)$ $150r = 70r+2800$ $80r = 2800$ $80r/80 = 2800/80$ $r = 35$ $r+40$ $35+40$ $75$
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