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A straight picket fence is composed of x pickets each of whi [#permalink]

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08 Sep 2004, 01:58

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A

B

C

D

E

Difficulty:

95% (hard)

Question Stats:

34% (02:39) correct
66% (01:28) wrong based on 806 sessions

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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]

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20 Sep 2013, 02:24

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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

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]

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21 Sep 2013, 21:27

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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.

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.

Re: A straight picket fence is composed of x pickets each of whi [#permalink]

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06 Oct 2014, 22:46

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A straight picket fence is composed of x pickets each of whi [#permalink]

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09 Oct 2014, 13:05

Would the GMAT consider that the imperial unit system is general knowledge? I am asking because I come from a metric system country and have no idea about feet inches, pound ounces and all of that...

Would the GMAT consider that the imperial unit system is general knowledge? I am asking because I come from a metric system country and have no idea about feet inches, pound ounces and all of that...

Will I have to learn it?

No. The question itself will supply the relative conversions. Though you should have a few basic ones memorized: 1 hour = 60 minutes, ...

Re: A straight picket fence is composed of x pickets each of whi [#permalink]

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04 Nov 2015, 03:18

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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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

Whenever you have variables in the answer choices, just plug in. If x = 1, there is only one picket which is 1/2 inch wide. Since 1 foot has 12 inches, 1/2 inch would be 1/24 of a foot. Look for the choice in which if you put x = 1, you get 1/24.

A straight picket fence is composed of x pickets each of whi [#permalink]

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25 Jan 2016, 21:38

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 \(\frac{13x-12}{24}\) feet.

Answer: E.

Hope it's clear.

i started it with making an equation just like you did but what i did is:

\(6(x-1)+\frac{1}{2}*x=.5(x-1)+\frac{1}{24}*x\)

but by solving this equation i couldn't come to the final equation which is in the options list.

can you help me out with it...i want to understand when to convert it before hand and when to wait for it . :/

i started it with making an equation just like you did but what i did is:

\(6(x-1)+\frac{1}{2}*x=.5(x-1)+\frac{1}{24}*x\)

but by solving this equation i couldn't come to the final equation which is in the options list.

can you help me out with it...i want to understand when to convert it before hand and when to wait for it . :/

HELP

Hi, lets start where you left..

\(6(x-1)+\frac{1}{2}*x=.5(x-1)+\frac{1}{24}*x\)... \(.5x-.5+\frac{x}{24}\).. \(\frac{{24(.5x-.5)+x}}{24}\) \(\frac{{(12x-12)+x}}{24}\)... \(\frac{{13x-12}}{24}\)... this is the answer required..

But I can advice you that do the change in inches to feets in the final step rather than in initial steps.. It will be less complicated.. \(6(x-1)+\frac{1}{2}*x=6x-6+\frac{1}{2}*x\)... =\(\frac{{(12x-12)+x}}{2}=\frac{{13x-12}}{2}\).. now change to feet by dividing by 12..
_________________

i started it with making an equation just like you did but what i did is:

\(6(x-1)+\frac{1}{2}*x=.5(x-1)+\frac{1}{24}*x\)

but by solving this equation i couldn't come to the final equation which is in the options list.

can you help me out with it...i want to understand when to convert it before hand and when to wait for it . :/

HELP

Note that all options have a single x. So this should give you a hint that you have to further simplify your expression to bring the x's together. Once you do, it will match one option.
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