Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 7 - Algebraic Fractions - Chapter 7 Review Problem Set: 33

Answer

Todd goes 15 mph, and Lanette goes 22 mph.

Work Step by Step

Since she goes 44 miles in the same time, she is riding at 44/30 x = 1.467x, where x is the rate at which Todd is riding. Since Todd's rate is 7 mph slower, we obtain: $1.467x = x + 7 \\ .467x = 7 \\ x =15 $ Thus, Todd goes 15 mph, meaning that Lanette goes 15 + 7 = 22 mph.
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