Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 1 - Section 1.8 - Multiplication and Division of Fractions - Exercise - Page 48: 39


$120\frac{3}{4}$ miles per hour

Work Step by Step

To find the average speed, divide the distance flown by the total travel time: Speed $\\=684\frac{1}{4} \div 5\frac{2}{3} \\=\frac{4(684)+1}{4} \div \frac{3(5)+2}{3} \\=\frac{2737}{4} \div \frac{17}{3}$ Use the rule $\frac{a}{b} \div \frac{c}{d} = \frac{[a}{b} \times \frac{d}{c}$ to obtain: $\\=\frac{2737}{4} \times \frac{3}{17} \\=\frac{2737(3)}{4(17)} \\=\frac{8211}{68} \\=120\frac{3}{4}$ The aircraft was flying at $120\frac{3}{4}$ miles per hour.
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