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
OA: E
Need explanation why E is the correct answer?
A straight picket fence is composed of x pickets each of whi
This topic has expert replies
-
- Moderator
- Posts: 426
- Joined: Tue Aug 22, 2017 8:48 pm
- Followed by:1 members
- GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
Let x=2, implying that there are only 2 pickets.ardz24 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
Length of the 2 pickets = 2(1/2) = 1 inch.
The space between them = 6 inches.
Total length = 1+6 = 7 inches.
Total length in feet = 7/12. This is our target.
Now plug x=2 into the answers to see which yields our target of 7/12.
Only E works:
(13x-12)/24 = (13*2 - 12)/24 = 7/12.
The correct answer is E.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
GMAT/MBA Expert
- [email protected]
- Elite Legendary Member
- Posts: 10392
- Joined: Sun Jun 23, 2013 6:38 pm
- Location: Palo Alto, CA
- Thanked: 2867 times
- Followed by:511 members
- GMAT Score:800
Hi ardz24,
This is an example of a 'fence post' problem; they're relatively rare on the GMAT (you might not see any on Test Day). TESTing VALUES works perfectly here (as Mitch has shown), but sometimes these types of questions are about a specific calculation. The key to these types of questions is to realize that there is a 'post' at the beginning and the end of the 'row.'
Here's a variation on that idea: if you read pages 2 through 5 (inclusive) of a book, then how many pages have you read? Many people would quickly say that the answer is 3 (since 5 - 2 = 3). However, that is NOT the correct answer. We have to include page 2 (it was one of the pages read; we read 2, 3, 4 and 5 - thus the total is 4 pages) so you have to go back and include that page after you subtract it. Thus, the answer is 5 - 2 + 1 = 4
GMAT assassins aren't born, they're made,
Rich
This is an example of a 'fence post' problem; they're relatively rare on the GMAT (you might not see any on Test Day). TESTing VALUES works perfectly here (as Mitch has shown), but sometimes these types of questions are about a specific calculation. The key to these types of questions is to realize that there is a 'post' at the beginning and the end of the 'row.'
Here's a variation on that idea: if you read pages 2 through 5 (inclusive) of a book, then how many pages have you read? Many people would quickly say that the answer is 3 (since 5 - 2 = 3). However, that is NOT the correct answer. We have to include page 2 (it was one of the pages read; we read 2, 3, 4 and 5 - thus the total is 4 pages) so you have to go back and include that page after you subtract it. Thus, the answer is 5 - 2 + 1 = 4
GMAT assassins aren't born, they're made,
Rich
- EconomistGMATTutor
- GMAT Instructor
- Posts: 555
- Joined: Wed Oct 04, 2017 4:18 pm
- Thanked: 180 times
- Followed by:12 members
Hi ardz24,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
OA: E
Need explanation why E is the correct answer?
Let's take a look at your question.
Since there are x pickets in the fence and each picket is 1/2 inch wide, so width of all x pickets will be (1/2)x
Now, lets find the total gap between x pickets.
If there are only 2 pickets, the gap between them is (2-1)(6) = (1)(6) = 6 inches
If there are 3 pickets, the gap between them is (3-1)(6) = (2)(6) = 12 inches
If there are 4 pickets, the gap between them is (4-1)(6) = (3)(6) = 18 inches
.....
Similarly, If there are x pickets, the gap between them is (x-1)(6) = (6x-6) inches
Total length of the fence in inches= width of x pickets + gap between x pickets
$$=\frac{1}{2}x+\left(6x-6\right)$$
$$=\frac{1}{2}x+\frac{12}{2\ }x-6$$
$$=\frac{13}{2\ }x-6$$
We are asked to find the length of fence in feet.
We know that, 1 foot = 12 inches and 1 inch = 1/12 foot, Therefore,
Total length of the fence in feet =
$$=\frac{1}{12}\left(\frac{13}{2\ }x-6\right)$$
$$=\frac{1}{12}\left(\frac{13x-12}{2\ }\right)$$
$$\left(\frac{13x-12}{24}\right)$$
Therefore, Option E is correct.
I am available, if you'd like any follow up.
GMAT Prep From The Economist
We offer 70+ point score improvement money back guarantee.
Our average student improves 98 points.
We offer 70+ point score improvement money back guarantee.
Our average student improves 98 points.
GMAT/MBA Expert
- Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7247
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
Since there are x pickets, there are (x - 1) spacings between. Since each picket is 1/2 inch wide and each spacing is 6 inches wide, the overall length of the fence is:BTGmoderatorAT 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
OA: E
Need explanation why E is the correct answer?
(1/2)x + 6(x - 1) = x/2 + 6x - 6 = (x + 12x - 12)/2 = (13x - 12)/2 inches
Since 1 foot = 12 inches, the length of the fence, in feet, is:
[(13x - 12)/2]/12 = (13x - 12)/24
Answer: E
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews