Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 1, Equations and Inequalities - 1.5 Use Problem Solving Strategies and Models - 1.5 Exercises - Problem Solving - Page 39: 32c


$75$ minutes running and $80 $ minutes cycling.

Work Step by Step

Let $x$ be the time spent running. Then the time spent cycling is $\frac{155}{60}-x$. Then our equation is: $12x+(\frac{155}{60}-x)30=55\\12x+77.5-30x=55\\18x=22.5\\x=1.25$. Thus she spent $75$ minutes running and $80 $ minutes cycling.
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