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: 85

Answer

3 minutes, 45 seconds (or 3.75 minutes)

Work Step by Step

distance = rate * time hyena: $d+.5 = 40*t$ giraffe: $d = 32*t$ $d = 32*t$ $d/32 = 32*t/32$ $d/32 = t$ $d+.5 = 40*t$ $(d+.5)/40 = 40*t/40$ $(d+.5)/40 = t$ $(d+.5)/40 = d/32$ $40d = 32*(d+.5)$ $40d = 32d +16$ $8d = 16$ $8d/8 = 16/8$ $d=2$ $d = 32*t$ $2 = 32*t$ $2/32 =32*t/32$ $1/16 =t$ $d = 32*t$ $d = 32*1/16$ $d=32/16$ $d=2$ $1/16 = x/60$ $16x=60$ $16x/16 = 60/16$ $x = 3.75$ minutes $d=32/60*3.75$ $d=120/60$ $d=2$ $d+.5=40/60*t$ $d+.5=2/3*3.75$ $d+.5=2.5$ $d=2$
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