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: 67

Answer

50 mph and 64 mph

Work Step by Step

car 1: 224 = (r+14)*t car 2: 175 = r*t $224 = (r+14)*t$ $224/(r+14) = (r+14)*t/(r+14)$ $224/(r+14) =t$ $175 = r*t$ $175/r = r*t/r$ $175/r = t$ $224/(r+14) = 175/r$ $175* (r+14) = 224r$ $175r + 2450 = 224r$ $2450 = 49r$ $2450/49 = 49r/49$ $r = 50$ $14+r$ $14+50$ $64$
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