A fence consists of m lengths of fence that are each n feet : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 21 Jan 2017, 18:10

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A fence consists of m lengths of fence that are each n feet

Author Message
TAGS:

Hide Tags

Intern
Status: abc
Joined: 22 Aug 2012
Posts: 16
Location: India
Concentration: Entrepreneurship, Strategy
Schools: Stern '16
GPA: 3.65
WE: Engineering (Computer Hardware)
Followers: 0

Kudos [?]: 9 [0], given: 13

A fence consists of m lengths of fence that are each n feet [#permalink]

Show Tags

09 Dec 2012, 10:53
3
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

56% (02:44) correct 44% (01:17) wrong based on 121 sessions

HideShow timer Statistics

A fence consists of m lengths of fence that are each n feet long. A fence post separates each length of fence by its width of x feet. What is the total length of the fence including the fence posts on each end?

A. mn
B. m(n + x)
C. m(n + x) + x
D. m(n + x) + 2x
E. 2mn
[Reveal] Spoiler: OA

Last edited by Bunuel on 09 Dec 2012, 23:36, edited 1 time in total.
Renamed the topic, edited the question and moved to PS forum.
Math Expert
Joined: 02 Sep 2009
Posts: 36590
Followers: 7092

Kudos [?]: 93365 [1] , given: 10557

Re: A fence consists of m lengths of fence that are each n feet [#permalink]

Show Tags

09 Dec 2012, 23:44
1
KUDOS
Expert's post
akshayb2 wrote:
A fence consists of m lengths of fence that are each n feet long. A fence post separates each length of fence by its width of x feet. What is the total length of the fence including the fence posts on each end?

A. mn
B. m(n + x)
C. m(n + x) + x
D. m(n + x) + 2x
E. 2mn

Notice that since a fence post separates each length of fence, then there will be m+1 posts, for example if there are m=2 fences, then there will be 3 posts: PFPFP. Thus the total length of the posts is (m+1)x.

The total length of the fence is mn, therefore the total length of the fence including the fence posts on each end is (m+1)x+mn=mx+x+mn=m(n+x)+x.

Hope it's clear.

_________________
Intern
Status: abc
Joined: 22 Aug 2012
Posts: 16
Location: India
Concentration: Entrepreneurship, Strategy
Schools: Stern '16
GPA: 3.65
WE: Engineering (Computer Hardware)
Followers: 0

Kudos [?]: 9 [0], given: 13

Re: A fence consists of m lengths of fence that are each n feet [#permalink]

Show Tags

10 Dec 2012, 04:59
Hey Bunuel, thanks for the quick reply. I was bit confused with the wordings. Its clear now
Intern
Joined: 11 Jul 2012
Posts: 46
Followers: 0

Kudos [?]: 5 [0], given: 0

Re: A fence consists of m lengths of fence that are each n feet [#permalink]

Show Tags

11 Dec 2012, 11:37
Bunnuel I don't agree with you.
For me if there are n = 2 fences, then according to the requirement of there being a post to seperate them, there ought to be n-1 post. So mn + (n-1)x
But if the fence got to start and finish with a post, then yes you are right. But this is not what the stem says. I am getting things wrong? Please help.
Brother Karamazov
Math Expert
Joined: 02 Sep 2009
Posts: 36590
Followers: 7092

Kudos [?]: 93365 [0], given: 10557

Re: A fence consists of m lengths of fence that are each n feet [#permalink]

Show Tags

12 Dec 2012, 01:30
Ousmane wrote:
Bunnuel I don't agree with you.
For me if there are n = 2 fences, then according to the requirement of there being a post to seperate them, there ought to be n-1 post. So mn + (n-1)x
But if the fence got to start and finish with a post, then yes you are right. But this is not what the stem says. I am getting things wrong? Please help.
Brother Karamazov

I think, this is exactly what the stem is saying:
"A fence post separates each length of fence..."
"What is the total length of the fence including the fence posts on each end".
_________________
Intern
Joined: 11 Jul 2012
Posts: 46
Followers: 0

Kudos [?]: 5 [0], given: 0

Re: A fence consists of m lengths of fence that are each n feet [#permalink]

Show Tags

12 Dec 2012, 05:58
Bunnuel, you are so kind. You should at times go angry. But don't mind me. I struggle with English some times
Thanks anyway
Brother Karamazov
Intern
Joined: 19 Aug 2012
Posts: 2
Followers: 0

Kudos [?]: 1 [1] , given: 0

Re: A fence consists of m lengths of fence that are each n feet [#permalink]

Show Tags

14 Dec 2012, 01:55
1
KUDOS
Bunuel wrote:
akshayb2 wrote:
A fence consists of m lengths of fence that are each n feet long. A fence post separates each length of fence by its width of x feet. What is the total length of the fence including the fence posts on each end?

A. mn
B. m(n + x)
C. m(n + x) + x
D. m(n + x) + 2x
E. 2mn

Notice that since a fence post separates each length of fence, then there will be n+1 posts, for example if there are n=2 fences, then there will be 3 posts: PFPFP. Thus the total length of the posts is (n+1)x.

The total length of the fence is mn, therefore the total length of the fence including the fence posts on each end is (n+1)x+mn=nx+x+mn=m(n+x)+x.

Hope it's clear.

Hi, could you please recheck the highlighted portion. I think there is a mistake.
Math Expert
Joined: 02 Sep 2009
Posts: 36590
Followers: 7092

Kudos [?]: 93365 [0], given: 10557

Re: A fence consists of m lengths of fence that are each n feet [#permalink]

Show Tags

14 Dec 2012, 02:02
mtripathy wrote:
Bunuel wrote:
akshayb2 wrote:
A fence consists of m lengths of fence that are each n feet long. A fence post separates each length of fence by its width of x feet. What is the total length of the fence including the fence posts on each end?

A. mn
B. m(n + x)
C. m(n + x) + x
D. m(n + x) + 2x
E. 2mn

Notice that since a fence post separates each length of fence, then there will be n+1 posts, for example if there are n=2 fences, then there will be 3 posts: PFPFP. Thus the total length of the posts is (n+1)x.

The total length of the fence is mn, therefore the total length of the fence including the fence posts on each end is (n+1)x+mn=nx+x+mn=m(n+x)+x.

Hope it's clear.

Hi, could you please recheck the highlighted portion. I think there is a mistake.

There was a typo: n instead of m (a-fence-consists-of-m-lengths-of-fence-that-are-each-n-feet-143845.html#p1152801) Thus it should be (m+1)x+mn=mx+x+mn=m(n+x)+x. Thank you for pointing that out. +1.
_________________
Intern
Joined: 24 Apr 2012
Posts: 48
Followers: 0

Kudos [?]: 22 [0], given: 1

Re: A fence consists of m lengths of fence that are each n feet [#permalink]

Show Tags

14 Dec 2012, 02:17
Ans:

the total length of fence without the posts would be mn, now if there are 2 fences there would be 3 posts because PFPFP, so total posts= (n+1). Length of posts=(n+1)x. Total length of fence= nx+x+mn, therefore the answer is (C).
_________________

www.mnemoniceducation.com

Intern
Joined: 31 Oct 2012
Posts: 24
Followers: 0

Kudos [?]: 5 [0], given: 4

Re: A fence consists of m lengths of fence that are each n feet [#permalink]

Show Tags

16 Dec 2012, 23:15
Firstly the term just "fence" is not clear. Now a "fence" can be a closed fence or it can be an open fence. If this kind of wording was given then it would have been more clear because..

Things we know for sure
1. A "post" separates the "fence lengths"
2. m = #of fence lengths, 1lenght = n feet long, total length of the fence alone = mn
3. z = # of posts, length of 1 post = x feet long, total length of all the posts alone = zx
4. Total length of fence and posts = mn + zx

The crucial factor here is z. we have to determine what z is.

Now i stress more on the wording here in the question is because
1. Closed fence (the ends are joined)
When a fence is closed then the #of posts = #of fence lengths. Diagram it, it looks something like PFPF
m = z . Therefore Total = mn + mx

2. Open Fence (the ends are not joined)
What if the Fence starts wit a post
Case 1 - PFPFP here x = m + 1. Total length = mn + x(m + 1)
Case 2 - PFPFPF here x = m, Total Length = mn + mx

What if The fence starts with a Fence length
Case 1 - FPFPF here x = m -1, Total length = mn + (m-1)x
Case 2 - FPFP here x = m, Total Lenght = mn + mx

We have here three different kinds of answers and all of them are correct. The question is not specific.
Manager
Joined: 18 Dec 2012
Posts: 96
Location: India
Concentration: General Management, Strategy
GMAT 1: 660 Q49 V32
GMAT 2: 530 Q37 V25
GPA: 3.32
WE: Manufacturing and Production (Manufacturing)
Followers: 1

Kudos [?]: 30 [0], given: 34

Re: A fence consists of m lengths of fence that are each n feet [#permalink]

Show Tags

09 Feb 2014, 01:22
Bunuel wrote:
akshayb2 wrote:
A fence consists of m lengths of fence that are each n feet long. A fence post separates each length of fence by its width of x feet. What is the total length of the fence including the fence posts on each end?

A. mn
B. m(n + x)
C. m(n + x) + x
D. m(n + x) + 2x
E. 2mn

Notice that since a fence post separates each length of fence, then there will be m+1 posts, for example if there are m=2 fences, then there will be 3 posts: PFPFP. Thus the total length of the posts is (m+1)x.

The total length of the fence is mn, therefore the total length of the fence including the fence posts on each end is (m+1)x+mn=mx+x+mn=m(n+x)+x.

Hope it's clear.

Hi Bunnel

Can you make a pictorial representation of your explanation? I'm not able to get it.
Apologies for the pain.
_________________

I'm telling this because you don't get it. You think you get it which is not the same as actually getting it. Get it?

Math Expert
Joined: 02 Sep 2009
Posts: 36590
Followers: 7092

Kudos [?]: 93365 [0], given: 10557

Re: A fence consists of m lengths of fence that are each n feet [#permalink]

Show Tags

09 Feb 2014, 01:40
Qoofi wrote:
Bunuel wrote:
akshayb2 wrote:
A fence consists of m lengths of fence that are each n feet long. A fence post separates each length of fence by its width of x feet. What is the total length of the fence including the fence posts on each end?

A. mn
B. m(n + x)
C. m(n + x) + x
D. m(n + x) + 2x
E. 2mn

Notice that since a fence post separates each length of fence, then there will be m+1 posts, for example if there are m=2 fences, then there will be 3 posts: PFPFP. Thus the total length of the posts is (m+1)x.

The total length of the fence is mn, therefore the total length of the fence including the fence posts on each end is (m+1)x+mn=mx+x+mn=m(n+x)+x.

Hope it's clear.

Hi Bunnel

Can you make a pictorial representation of your explanation? I'm not able to get it.
Apologies for the pain.

It's already given. If m=2 fences there will be 3 posts: {Post}{Fence}{Post}{Fence}{Post}. Each fence is n feet and each post is x feet.
_________________
Manager
Joined: 05 Sep 2014
Posts: 92
Schools: IIMB
Followers: 1

Kudos [?]: 3 [0], given: 249

A fence consists of m lengths of fence that are each n feet [#permalink]

Show Tags

30 Jul 2016, 23:06
How can we assume there is a post at the beginning . It could be the case : fence post fence post , in that case no of fences = no of posts.

Regards
Megha
BSchool Forum Moderator
Joined: 18 Jul 2015
Posts: 951
Location: India
GMAT 1: 670 Q50 V32
GMAT 2: 700 Q50 V34
GPA: 3.65
WE: Brand Management (Health Care)
Followers: 25

Kudos [?]: 235 [0], given: 33

Re: A fence consists of m lengths of fence that are each n feet [#permalink]

Show Tags

30 Jul 2016, 23:26
megha_2709 wrote:
How can we assume there is a post at the beginning . It could be the case : fence post fence post , in that case no of fences = no of posts.

Regards
Megha

It is given in the question "including the fence posts on each end". Hence, we need to consider fence post-fence-fence post -.. order.
_________________

Thanks.

Manager
Joined: 05 Sep 2014
Posts: 92
Schools: IIMB
Followers: 1

Kudos [?]: 3 [0], given: 249

Re: A fence consists of m lengths of fence that are each n feet [#permalink]

Show Tags

01 Aug 2016, 12:40
abhimahna wrote:
megha_2709 wrote:
How can we assume there is a post at the beginning . It could be the case : fence post fence post , in that case no of fences = no of posts.

Regards
Megha

It is given in the question "including the fence posts on each end". Hence, we need to consider fence post-fence-fence post -.. order.

oh yes..

Regards
Megha
Manager
Joined: 14 Oct 2012
Posts: 50
Followers: 0

Kudos [?]: 4 [0], given: 578

Re: A fence consists of m lengths of fence that are each n feet [#permalink]

Show Tags

12 Sep 2016, 17:45
Hello Friends,
i did this directly as shown:
Attachments

File comment: I you like my post, please kudo!!!

gmat_x.png [ 13.82 KiB | Viewed 248 times ]

Re: A fence consists of m lengths of fence that are each n feet   [#permalink] 12 Sep 2016, 17:45
Similar topics Replies Last post
Similar
Topics:
Two goats are each tied at corners A and B of a fenced rectangular fie 3 20 Sep 2016, 07:43
Judy ran along the fence that surrounds her house. The fence forms a 3 18 Sep 2016, 08:54
2 Frank the Fencemaker needs to fence in a rectangular yard. He fences 8 01 Jul 2015, 01:40
5 Fence X is twice as long as fence Y, and fence Y is 2 feet shorter tha 6 28 Mar 2014, 16:58
2 What is the cost of fencing? A rectangular football field is 3 23 Dec 2013, 09:53
Display posts from previous: Sort by