Answer
See below
Work Step by Step
The function has a minimum at $x\approx1.704$
This value gives the optimum length to run:
$20-x=20-1.704=18.296$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 6 Rational Exponents and Radical Functions - 6.3 Perform Function Operations and Composition - 6.3 Exercises - Problem Solving - Page 434: 46c
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