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It takes Henry 2 more hours than Harrison to make 20 golf

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Director
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It takes Henry 2 more hours than Harrison to make 20 golf [#permalink] New post 13 Nov 2005, 16:40
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It takes Henry 2 more hours than Harrison to make 20 golf tees. Working together Henry and Harrison can make 25 golf tees in 3 hours. How long will it take Henry to make 20 golf tees?

5 hours
6 hours
8 hours
10 hours
12 hours

:wink

You must show work to get underpants!
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"Wow! Brazil is big." —George W. Bush, after being shown a map of Brazil by Brazilian president Luiz Inacio Lula da Silva, Brasilia, Brazil, Nov. 6, 2005

http://www.nytimes.com/2005/11/21/inter ... prexy.html

Director
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 [#permalink] New post 13 Nov 2005, 17:14
I smell work :wink:

In 1 hr, Henry makes 20/(h) tees
In 1 hr, Harrison makes 20/(h-2) tees

We need h

Together,
20/(h-2) + 20/h = 25/3
solve for h we get, h=6 and h=1.2

Since 6 is one of the answer choices, i'll stop here!
Director
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 [#permalink] New post 14 Nov 2005, 10:13
6
combined time taken for 20 tees = 3*20/25=12/5

let He is the time for Hennery
Ha Harrison

He = Ha +2

He*Ha/(He+Ha)=12/5

He(He-2)/(2He-2)=12/5

solve for He = 6
  [#permalink] 14 Nov 2005, 10:13
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It takes Henry 2 more hours than Harrison to make 20 golf

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