Tuesday, January 26, 2010

The Sculpture Support

An artist has been commissioned to do a sculpture which will sit in front of the post office in the small community of Puzzleville. The artist decided to pour a cement footing and place a verticle pipe in the cement to stabilize his art. One third of the total length of the pipe was placed in the ground. He decided to paint the above ground section to prevent rust. With his step ladder, he could only reach and paint 1/2 of the total length of the pipe, leaving 4 ft. at the top unpainted.

What was the total length of the pipe?

5 Comments:

Blogger David and Kimmy Wright said...

ok so 1/3 or 2/6th of the total length of the pipe is in the ground.

1/2 or 3/6 of the pipe is part of the above ground section that is painted.

This adds to 5/6th of the pipe. 1\6th
of the pipe is not painted. This means the total length then is 6 * 4 or 24ft

January 26, 2010 3:38 PM  
Anonymous Zaux said...

Hi David ... right you are

January 26, 2010 3:48 PM  
Anonymous Anonymous said...

"1/2 of the total length of the pipe, leaving 4 ft. at the top unpainted." If we were to take the grammar used literally, the total length would be 8 ft. ( 2x4feet)

January 26, 2010 6:05 PM  
Blogger Chris said...

This post has been removed by the author.

January 26, 2010 7:30 PM  
Blogger Chris said...

Reposting as last was too cruel.

Let x be the total length of the pipe.

Then x/3 + x/2 + 4 = x => x = 24.

The total length of the pipe isn't just the bit sticking out of the ground; that would have been the exposed or remaining length of the pipe.

January 26, 2010 10:46 PM  

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