GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 20 Jun 2019, 00:31

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

The length and width of a rectangular yard are 11 meters and 5 meters

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 55716
The length and width of a rectangular yard are 11 meters and 5 meters  [#permalink]

Show Tags

New post 20 Mar 2015, 07:23
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

81% (01:28) correct 19% (02:21) wrong based on 125 sessions

HideShow timer Statistics

Current Student
avatar
B
Joined: 23 May 2013
Posts: 186
Location: United States
Concentration: Technology, Healthcare
GMAT 1: 760 Q49 V45
GPA: 3.5
GMAT ToolKit User
The length and width of a rectangular yard are 11 meters and 5 meters  [#permalink]

Show Tags

New post 20 Mar 2015, 08:19
1
L = 11 meters.
W = 5 meters.

Current ratio of L/W = 11/5. We want to subtract x from both of these values to get a new ratio of 8/3.

\(\frac{11-x}{5-x} = \frac{8}{3}\)

\(3(11-x) = 8(5-x)\)

\(33 - 3x = 40 - 8x\)

\(5x = 7\)

\(x = \frac{7}{5} = 1.4\)

Answer: A
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7756
Re: The length and width of a rectangular yard are 11 meters and 5 meters  [#permalink]

Show Tags

New post 20 Mar 2015, 09:25
Bunuel wrote:
The length and width of a rectangular yard are 11 meters and 5 meters respectively. If each dimension were reduced by x meters to make the ratio of length to width 8 to 3, what would be the value of x?

A. 1.4
B. 1.6
C. 1.8
D. 2.0
E. 2.2

Kudos for a correct solution.


hi,
again a different approach is substituting values after understanding the properties of number...
1) the initial value or ratio is 11:5... if we subtract a value x from the two values ratio becomes 8:3..
2) the above point tells us that 11-x should be multiple of 8 and 5-x should be a multiple of 5....

now lets look at the choice..
A. 1.4
110-14=96 is multiple of 8 and 50-14=36, which is multiple of 3..so this is what we are looking for.. ans

lets look at other choices also
B. 1.6
110-16=94 is not a multiple of 8 and 50-16=34, not a multiple of 3..so this is not what we are looking for

C. 1.8
110-18=92 is not a multiple of 8 and 50-18=32, not a multiple of 3..so this is not what we are looking for

D. 2.0
110-20=90 is not a multiple of 8 although 50-20=30, a multiple of 3..so this is not what we are looking for

E. 2.2
110-22=88 is a multiple of 8 but 50-22=28, not a multiple of 3..so this is not what we are looking for

ans A
_________________
Senior Manager
Senior Manager
avatar
Joined: 02 Mar 2012
Posts: 284
Schools: Schulich '16
Re: The length and width of a rectangular yard are 11 meters and 5 meters  [#permalink]

Show Tags

New post 20 Mar 2015, 12:00
1
A is the answer;.

11-x/5-x=8/3

which solves to x=7/5
=1.4
Senior Manager
Senior Manager
User avatar
B
Joined: 28 Feb 2014
Posts: 294
Location: United States
Concentration: Strategy, General Management
Reviews Badge
The length and width of a rectangular yard are 11 meters and 5 meters  [#permalink]

Show Tags

New post 20 Mar 2015, 21:00
1
Bunuel wrote:
The length and width of a rectangular yard are 11 meters and 5 meters respectively. If each dimension were reduced by x meters to make the ratio of length to width 8 to 3, what would be the value of x?

A. 1.4
B. 1.6
C. 1.8
D. 2.0
E. 2.2

Kudos for a correct solution.


(11-x)/(5-x) = 8/3
x= 7/5
x= 1.4

Answer: A
LBS Thread Master
avatar
B
Joined: 13 Jan 2015
Posts: 97
Location: United Kingdom
Concentration: Other, General Management
Schools: LBS '19 (WL)
GMAT 1: 690 Q48 V36
Re: The length and width of a rectangular yard are 11 meters and 5 meters  [#permalink]

Show Tags

New post 21 Mar 2015, 07:13
1
11-x/ 5-x = 8/3

33-3x= 40-8x

-3x+8x = 40-33

5x= 7

x=7/5 ------->1.4
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1793
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
The length and width of a rectangular yard are 11 meters and 5 meters  [#permalink]

Show Tags

New post 23 Mar 2015, 01:29
Answer = A

\(\frac{11-x}{5-x} = \frac{8}{3}\)

8(x-5) = 3(x-11)

5x = 7

\(x = \frac{7}{5} = 1.4\)
_________________
Kindly press "+1 Kudos" to appreciate :)
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 55716
Re: The length and width of a rectangular yard are 11 meters and 5 meters  [#permalink]

Show Tags

New post 23 Mar 2015, 05:41
Bunuel wrote:
The length and width of a rectangular yard are 11 meters and 5 meters respectively. If each dimension were reduced by x meters to make the ratio of length to width 8 to 3, what would be the value of x?

A. 1.4
B. 1.6
C. 1.8
D. 2.0
E. 2.2

Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION:
Attachment:
yardlengthandwidth_text.PNG
yardlengthandwidth_text.PNG [ 16.03 KiB | Viewed 4921 times ]

_________________
Senior Manager
Senior Manager
User avatar
G
Joined: 24 Nov 2015
Posts: 496
Location: United States (LA)
Reviews Badge
Re: The length and width of a rectangular yard are 11 meters and 5 meters  [#permalink]

Show Tags

New post 26 Apr 2016, 13:27
\(\frac{11-x}{5-x}=\frac{8}{3}\)

\(3(11-x)=8(5-x)\)

\(33-3x=40-8x\)

\(5x=7\)

x=\(\frac{7}{5}\)
x=1.4
correct answer option A
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 11396
Re: The length and width of a rectangular yard are 11 meters and 5 meters  [#permalink]

Show Tags

New post 05 Jan 2018, 00:23
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.
_________________
GMAT Club Bot
Re: The length and width of a rectangular yard are 11 meters and 5 meters   [#permalink] 05 Jan 2018, 00:23
Display posts from previous: Sort by

The length and width of a rectangular yard are 11 meters and 5 meters

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne