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It takes 32 minutes for 8 people to paint 8 walls.

How many minutes does it take 12 people to paint 12 walls?

 Feb 3, 2017
 #1
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If each person paints at the same speed, then each one will paint one wall. It takes each person 32 minutes to paint one wall. So it takes 32 minutes for 12 people to paint 12 walls.

 Feb 3, 2017
 #2
avatar+128079 
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It takes 32 minutes for 8 people to paint 8 walls 

 

Then 8 people can paint 4 walls in (1/2)32 min  = 16 min

 

So...in 1 min...the 8 people can paint 1/4 of a wall

 

So......12 people will work 3/2 itmes as fast → painting 1/4 of a wall in 2/3 min

 

So...a whole wall will  take 12 people.....  4 * 2/3 min  = 8/3 min

 

And 12 walls will take  12 * 8/3 min  = 32 min

 

 

cool cool cool

 Feb 3, 2017
 #3
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I believe it would take 32 minutes.

 Feb 3, 2017
 #4
avatar+36915 
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Via dimensional analysis:

 

8 people x 32 minutes   /  8 walls =  32   people - minutes / wall

 

12 walls / 12 people    x   32 people-minutes/wall =  32 minutes

 Feb 4, 2017

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