Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 11 - Rational Expressions and Functions - 11-5 Solving Rational Equations - Lesson Check - Page 683: 4

Answer

$28.125$ minutes

Work Step by Step

Let both sarah and andy work together in $T$ minutes (Fraction work done in a minute by Sarah)+ (Fraction work done in a minute by Andy)T=1 $\implies (\dfrac{1}{45}+\dfrac{1}{75})T=1$ $\implies (\dfrac{5+3}{225})T=1$ $8T=225$ or, $T=28.125$ minutes
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