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# A straight picket fence is composed of X pickets each of

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A straight picket fence is composed of X pickets each of [#permalink]  08 Sep 2004, 01:58
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A straight picket fence is composed of X pickets each of which is 1/2 inches wide. If there are 6 inches of space between each pair of pickets, which of the following represents the length of the fence in feet?
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Director
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E for me too

let X = 4
the length = 3*6 + (1/2)*4 = 20 inches = 20/12 feet = 5/3 feet.

Applying 5/3 in answer choices we have for E) (13*4 - 12)/24 = 5/3feet

I had made some silly mistakes earlier. Stand corrected. Thanks to sdanquah

Last edited by venksune on 08 Sep 2004, 12:56, edited 3 times in total.
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I think bot of you are missing something to this question,I hope I could compy the question here and digest it properly.
I think the answer shd be E

Number of pickeks = x
Size of pickets = 1/2
length of pickets = 1/2x
If there are x pickets, it implies that there are x -1 spaces between the picket
Length of space = 6

total number of length = 1/2 x + 6(x-1) in inches
total lenth in feet =( 1/2 x + 6(x-1))/12
Simplify to get (13X-12)/24
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sdanquah wrote:
I think bot of you are missing something to this question,I hope I could compy the question here and digest it properly.
I think the answer shd be E

Number of pickeks = x
Size of pickets = 1/2
length of pickets = 1/2x
If there are x pickets, it implies that there are x -1 spaces between the picket
Length of space = 6

total number of length = 1/2 x + 6(x-1) in inches
total lenth in feet =( 1/2 x + 6(x-1))/12
Simplify to get (13X-12)/24

Alternatively, each picket and the adjacent empty space represents a length of 6.5 inches.

Thus, total length of the fence = 6.5x - (6 inches for the one fewer empty space) = (13x-12)/2 in inches = (13x-12)/24 in feet.
Director
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Yes, E it is.

Always look out for changes in units trap.
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This is crazy. I got to the point where I do not know what the conversion factor is from inches to feet. Since GMAT is taken by an international community, shouldn't they stick to SI units?
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