College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.9 - Modeling with Equations - P.9 Exercises - Page 72: 55

Answer

37 min 20 s

Work Step by Step

Since it takes Candy 70 mins to deliver all the papers, she delivers $\frac{1}{70}$ of the papers in 1 min. Since it takes Tim 80 mins to deliver all the papers, he delivers $\frac{1}{80}$ of the papers in 1 min. Working together, they can deliver $\frac{1}{70} + \frac{1}{80} = \frac{3}{112}$ of the papers in 1 minute. Therefore, it takes them $\frac{112}{3} = 37.3$ minutes to deliver the papers, or 37 minutes and 20 seconds.
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