Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 11 - Rational Expressions and Functions - 11-5 Solving Rational Equations - Lesson Check - Page 695: 4

Answer

t=28.125 minutes

Work Step by Step

Sarah's rate: 1 bushel/45 minutes Andy's rate: 1 bushel/75 minutes Working together 1 bushel=(1 bushel/45 minutes+1 bushel/75 minutes)*t or $1=(1/45+1/75)t$ The LCD is 225 $1=(5/225+3/225)t$ $1=(8/225)t$ multiply by the reciprocal $225/8=t$ or $t=28.125$ minutes
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