d $20 an hour to work on the farm. His job usually consists of tending to the cows and fixing broken fences, but now the farmer needs him to replace the roof on the barn. The farmer has already purchased all the materials. The only thing left to do is put it on. The farmhand can complete the job in 18 hours if he works by himself. But if the farmer put the roof on by himself it would only take him 15 hours to complete the job. The cost of materials:  Plywood - $1463.7 Nails - $65.7 Tin - $6309.6  How long would it take to finish the roof if the farmer and the farmhand work on the roof at the same time?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
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The "Farmer" has a "Farmhand" that is paid $20 an hour to work on the farm. His job usually consists of tending to the cows and fixing broken fences, but now the farmer needs him to replace the roof on the barn. The farmer has already purchased all the materials. The only thing left to do is put it on. The farmhand can complete the job in 18 hours if he works by himself. But if the farmer put the roof on by himself it would only take him 15 hours to complete the job.

The cost of materials: 

Plywood - $1463.7

Nails - $65.7

Tin - $6309.6

 How long would it take to finish the roof if the farmer and the farmhand work on the roof at the same time?

 

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