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: 63

Answer

37 minutes and 20 seconds

Work Step by Step

Candy will do $\frac{1}{70}$ of work in one minute Tim will do $\frac{1}{80}$ of work in one minute Fraction of work they will do together in one minute is $\frac{1}{x}$ x is the amount of time it takes them to finish the work together $\frac{1}{70}$+$\frac{1}{80}$=$\frac{1}{x}$ multipy by 560x 8x+7x=560 15x=560 x=$\frac{560}{15}$ =37.333... =37 minutes and 20 seconds
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