Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.2 Applications and Modeling with Linear Equations - 1.2 Exercises - Page 102: 25


$\approx$1h 7 min 34 sec.

Work Step by Step

Bolt's average speed in meters per second is $\displaystyle \frac{100}{9.69}\approx 10.32$ m/s. Convert the marathon distance to meters: $26$ miles = $23\displaystyle \cdot 5280\mathrm{f}\mathrm{t}\cdot\frac{1\mathrm{m}}{3.281\mathrm{f}\mathrm{t}}\approx 41840.9$ meters The time needed to cover this distance at average speed of $10.32$ m/s is $\displaystyle \mathrm{t}=\frac{41840.9}{10.32}=4054.4$ seconds $=\displaystyle \frac{4054.4}{3600}\approx 1.126$ hours =$1$ hour + $0.126(60)$min =$1$h $7.57$ min =$1$h $7$ min +$0.57(60)$ s $\approx 1$h $7$ min $34$ sec.
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