Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.7 - Modeling with Equations - 1.7 Exercises - Page 78: 65

Answer

3 hours

Work Step by Step

Karen: x Betty: 6h Together:$\frac{2}{3}$x Fractions of work they will do in one hour: Karen : $\frac{1}{x}$ Betty : $\frac{1}{6}$ Together : $\frac{1}{\frac{2}{3}x}$ = $\frac{3}{2x}$ Equation: $\frac{1}{x}$+$\frac{1}{6}$= $\frac{3}{2x}$ multiply by 6x 6+x=9 x=3
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