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

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

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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
[Reveal] Spoiler: OA

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Last edited by Bunuel on 20 Sep 2013, 02:30, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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New post 08 Sep 2004, 11:56
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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New post 08 Sep 2004, 12:12
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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New post 08 Sep 2004, 12:50
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.
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New post 08 Sep 2004, 20:57
Yes, E it is.

Always look out for changes in units trap.
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New post 08 Sep 2004, 23:15
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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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
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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.
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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.
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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.


Thank you. Edited. +1.
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fell for the change of units trap!
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Re: A straight picket fence is composed of x pickets each of whi [#permalink]

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New post 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...

Will I have to learn it?
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nachobioteck wrote:
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, ...

Check other Conversion problems to practice in Special Questions Directory.
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hardworker_indian wrote:
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.

Answer (E)
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New post 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 . :/

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

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New post 25 Jan 2016, 22:48
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nishantdoshi wrote:
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..
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New post 26 Jan 2016, 23:35
Expert's post
nishantdoshi wrote:

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

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New post 27 Jan 2016, 07:27
pickets mean x-1 fences, each of which is 6 inches wide.

So, the length = 6(x−1)+12∗x=13x−122 inches, or 13x−1224 feet.

Answer: E.
Re: A straight picket fence is composed of x pickets each of whi   [#permalink] 27 Jan 2016, 07:27

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