A straight picket fence is composed of x pickets each of whi

BUT why question didn't mention the conversion rate of inch to feet?

Caught way off guard (usually given the Unit Relationships such as 12 in = 1 foot on the GMAT).

Like a lot of people, I picked the answer in inches, rather than in feet.


If there are X Pickets in the Fence, there will be (X - 1) Gaps in between each Pair of Pickets.

for instance, say there were 4 pickets

I------gap 1--------I-------gap 2--------I--------gap 3----------I

There would be 3 Gaps.

Thus, the Length of the Picket Fence, IN INCHES =

L = X * 1/2 + (X - 1) * 6

L = X/2 + 6X - 6

L = X/2 + 12X/2 - 12/2

L = (13X - 12)/2 ---- inches

to convert to Feet: 12 inches = 1 foot

(13X - 12)/2 * (1 foot / 12 inches) = (13X - 12) / (2 * 12)


(13X - 12) / 24

-D-

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