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 543: 86

Answer

Briscoe-- 216.2 mph Castroneves--216.9 mph

Work Step by Step

Helio: 2.5 miles, .694 mph faster than Briscoe Briscoe: 2.492 miles distance = rate * time Helio: $2.5 = (r+.694)*t$ Briscoe: $2.492 = r*t$ $2.5 = (r+.694)*t$ $2.5/(r+.694) = (r+.694)*t/(r+.694)$ $2.5/(r+.694) = t$ $2.492 = r*t$ $2.492/r = r*t/r$ $2.492/r = t$ $2.5/(r+.694) =2.492/r$ $2.492 (r+.694) = 2.5r$ $2.492r + 1.729448 = 2.5r$ $1.729448 = .008r$ $1.729448/.008 = .008r/.008$ $r = 216.181$ $r+.694$ $216.181+.694$ $216.875$
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