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 30AYU
To determine

To find: Toronto’s Pearson international Airport has a high-speed version of a moving walkway. If Liam walks while riding this moving walkway, he can travel 280 meters in 60 seconds less time than if he stands still on the moving walkway. If Liam walks at a normal rate of 1.5 meters per second. what is the speed of the walkway?

Expert Solution & Answer
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Answer to Problem 30AYU

The speed of walkway is 2 m/sec.

Explanation of Solution

Given:

Toronto’s Pearson international Airport has a high-speed version of a moving walkway. If Liam walks while riding this moving walkway, he can travel 280 meters in 60 seconds less time than if he stands still on the moving walkway. If Liam walks at a normal rate of 1.5 meters per second.

Calculation:

He walks 1.5 m/sec .

The walkway has x m/sec .

280 1.5 + x is the time it takes him to do it while walking. The units are seconds.

That is 60 seconds fewer than 280 x , the time it takes him without walking.

Therefore 280 1.5 + x  + 60 =  280 x , meaning that the time by walking is 60 seconds less than by standing.

280 + 90 + 60x 1.5 + x  =  280 x

420 + 280x = 370x + 60 x 2

60 x 2  + 90x  420 = 0

2 x 2  + 3x  14 = 0

( 2x + 7 )( x  2 ) = 0

x = 2 m/sec , only positive root.

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