Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - P.S. Problem Solving - Page 240: 10a


$\frac{\sqrt{x^2-6x+10}}{4} + \frac{\sqrt{x^2+4}}{2}$

Work Step by Step

Find the time needed to walk. $T1=distance/speed=\sqrt{1^2+(x-3)^2}/4=\frac{\sqrt{x^2-6x+10}}{4}$ Find the time needed to row. $T2=distance/speed=\sqrt{2^2+(x)^2}/4=\frac{\sqrt{x^2+4}}{2}$ Find the total time of the trip. $T = T1+T2 =\frac{\sqrt{x^2-6x+10}}{4} + \frac{\sqrt{x^2+4}}{2}$
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