Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.7 - Modeling with Equations - 1.7 Exercises - Page 78: 69

Answer

4 hours

Work Step by Step

Total distance is 300mi Total time is 5.5 hours Distance traveled by bus: d Time=$\frac{distance}{speed}$ total time (t) = time by bus ($t_{b}$) + time by train ($t_{t}$) t=$t_{b}$+$t_{t}$ t=$\frac{d}{40}$+$\frac{300-d}{60}$ multipy by 120 660=3d+2(300-d) 660=3d+600-2d 60=d $t_{t}$=$\frac{300-d}{60}$=$\frac{240}{60}$=4h
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