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A straight picket fence is composed of x pickets each of whi [#permalink]
08 Sep 2004, 00:58

00:00

A

B

C

D

E

Difficulty:

95% (hard)

Question Stats:

36% (02:26) correct
64% (01:18) wrong based on 114 sessions

A straight picket fence is composed of x pickets each of which is 1/2 inch wide. If there are 6 inches of space between each pair of pickets, which of the following represents the length of fence in feet?

A. 13x/2 B. 13x/2 - 6 C. 13x/24 D. (13x+1)/24 E. (13x-12)/24

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

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.

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?

Re: A straight picket fence is composed of X pickets each of [#permalink]
20 Sep 2013, 01:24

Can someone please explain why the answer is not D

I did it algebraically.

Basically since the 'space between pickets' is 6 inches and the pickets are 1/2 inch

why can't we just use 6 1/2 x + 1/2 Because each picket will have 6 inches of space and then you just add 1/2 inch for the extra picket. Doing this algebraically I get D

Re: A straight picket fence is composed of X pickets each of [#permalink]
20 Sep 2013, 01:35

Expert's post

laserglare wrote:

Can someone please explain why the answer is not D

I did it algebraically.

Basically since the 'space between pickets' is 6 inches and the pickets are 1/2 inch

why can't we just use 6 1/2 x + 1/2 Because each picket will have 6 inches of space and then you just add 1/2 inch for the extra picket. Doing this algebraically I get D

(6.5 x + .5) / 12 --> (13x - 12) / 24

A straight picket fence is composed of x pickets each of which is 1/2 inch wide. If there are 6 inches of space between each pair of pickets, which of the following represents the length of fence in feet? A. 13x/2 B. 13x/2 - 6 C. 13x/24 D. (13x+1)/24 E. (13x-12)/24

x pickets mean x-1 fences, each of which is 6 inches wide.

So, the length = 6(x-1)+\frac{1}{2}*x=\frac{13x-12}{2}inches, or \frac{13x-12}{24}feet.

Re: A straight picket fence is composed of X pickets each of [#permalink]
21 Sep 2013, 20:27

1

This post received KUDOS

Bunuel wrote:

laserglare wrote:

Can someone please explain why the answer is not D

I did it algebraically.

Basically since the 'space between pickets' is 6 inches and the pickets are 1/2 inch

why can't we just use 6 1/2 x + 1/2 Because each picket will have 6 inches of space and then you just add 1/2 inch for the extra picket. Doing this algebraically I get D

(6.5 x + .5) / 12 --> (13x - 12) / 24

A straight picket fence is composed of x pickets each of which is 1/2 inch wide. If there are 6 inches of space between each pair of pickets, which of the following represents the length of fence in feet? A. 13x/2 B. 13x/2 - 6 C. 13x/24 D. (13x+1)/24 E. (13x-12)/24

x pickets mean x-1 fences, each of which is 6 inches wide.

So, the length = 6(x-1)+\frac{1}{2}*x=\frac{13x-12}{2}inches, or \frac{13x-12}{2}feet.

Answer: E.

Hope it's clear.

A small typo...you wrote 2 instead of 24 in denominator. _________________

The First and Last time !!!

BKPL - Below Kudos Poverty Line .....Need your help.

Re: A straight picket fence is composed of X pickets each of [#permalink]
22 Sep 2013, 02:20

1

This post received KUDOS

Expert's post

StormedBrain wrote:

Bunuel wrote:

laserglare wrote:

Can someone please explain why the answer is not D

I did it algebraically.

Basically since the 'space between pickets' is 6 inches and the pickets are 1/2 inch

why can't we just use 6 1/2 x + 1/2 Because each picket will have 6 inches of space and then you just add 1/2 inch for the extra picket. Doing this algebraically I get D

(6.5 x + .5) / 12 --> (13x - 12) / 24

A straight picket fence is composed of x pickets each of which is 1/2 inch wide. If there are 6 inches of space between each pair of pickets, which of the following represents the length of fence in feet? A. 13x/2 B. 13x/2 - 6 C. 13x/24 D. (13x+1)/24 E. (13x-12)/24

x pickets mean x-1 fences, each of which is 6 inches wide.

So, the length = 6(x-1)+\frac{1}{2}*x=\frac{13x-12}{2}inches, or \frac{13x-12}{2}feet.

Answer: E.

Hope it's clear.

A small typo...you wrote 2 instead of 24 in denominator.