Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 7 - Algebraic Fractions - 7.6 - More Fractional Equations and Problem Solving - Problem Set 7.6: 43

Answer

It would take Barry 120 minutes and Mike 60 minutes.

Work Step by Step

Barry can complete 1/2x job per minute, and Mike can complete 1/x job per minute. Thus: $ 40 = \frac{1}{x} +\frac{1}{2x} \\ 40 = \frac{2}{3x} \\ x = 60 $ Thus, it will take Mike 60 minutes and Barry twice that, or 120 minutes.
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