Precalculus Enhanced with Graphing Utilities
Precalculus Enhanced with Graphing Utilities
6th Edition
ISBN: 9780321795465
Author: Michael Sullivan, Michael III Sullivan
Publisher: PEARSON
Question
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Chapter A.8, Problem 32AYU
To determine

To find: How long does it take each printer job alone? What is the speed of each printer?

Expert Solution & Answer
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Answer to Problem 32AYU

Karen’s normal walking speed is 4.05 .

Explanation of Solution

Given:

It takes an HP LaserJet M451 dw laser printer 16 minutes longer to complete an 840-page print job by itself than it takes an HP LaserJet CP4025 dn to complete the same job by itself. Together the two printers can complete the job in 15 minutes.

Calculation:

1 t  +  1 t + 16  =  1 15 . ( t + 16 + t )( 15 ) =  t 2  + 16t

Therefore t 2  + 14t  240 = 0 .

So the roots are ( t  10 )( t + 24 ) = 0 .

t = 10 faster printer.

t = 26 slower printer.

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