Elementary Algebra

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

Chapter 7 - Algebraic Fractions - Chapter 7 Review Problem Set - Page 322: 30


Nancy would take 8 hours, and Becky would take 2.67 hours.

Work Step by Step

Becky can complete the job at 1/x jobs per hour, so Nancy could do it at 1/3x jobs per hour. Thus: $2= 1/x + 1/3x \\ 2 = 4/3x \\ x= 2.67$ It would take Becky 2.67 hours, which means it would take Nancy 3(2.67) = 8 hours.
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