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

 It is currently 21 Jun 2018, 18:47

### 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

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

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 46264
The length and width of a rectangular yard are 11 meters and 5 meters [#permalink]

### Show Tags

20 Mar 2015, 07:23
00:00

Difficulty:

15% (low)

Question Stats:

81% (01:07) correct 19% (02:14) wrong based on 113 sessions

### HideShow timer Statistics

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.

_________________
Current Student
Joined: 23 May 2013
Posts: 189
Location: United States
Concentration: Technology, Healthcare
Schools: Stanford '19 (M)
GMAT 1: 760 Q49 V45
GPA: 3.5
The length and width of a rectangular yard are 11 meters and 5 meters [#permalink]

### Show Tags

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.

$$\frac{11-x}{5-x} = \frac{8}{3}$$

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

$$33 - 3x = 40 - 8x$$

$$5x = 7$$

$$x = \frac{7}{5} = 1.4$$

Math Expert
Joined: 02 Aug 2009
Posts: 5911
Re: The length and width of a rectangular yard are 11 meters and 5 meters [#permalink]

### Show Tags

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
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

GMAT online Tutor

Senior Manager
Joined: 02 Mar 2012
Posts: 337
Schools: Schulich '16
Re: The length and width of a rectangular yard are 11 meters and 5 meters [#permalink]

### Show Tags

20 Mar 2015, 12:00
1

11-x/5-x=8/3

which solves to x=7/5
=1.4
Senior Manager
Joined: 28 Feb 2014
Posts: 295
Location: United States
Concentration: Strategy, General Management
The length and width of a rectangular yard are 11 meters and 5 meters [#permalink]

### Show Tags

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

Joined: 13 Jan 2015
Posts: 111
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

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
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1837
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

23 Mar 2015, 01:29

$$\frac{11-x}{5-x} = \frac{8}{3}$$

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

5x = 7

$$x = \frac{7}{5} = 1.4$$
_________________

Kindly press "+1 Kudos" to appreciate

Math Expert
Joined: 02 Sep 2009
Posts: 46264
Re: The length and width of a rectangular yard are 11 meters and 5 meters [#permalink]

### Show Tags

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 [ 16.03 KiB | Viewed 3030 times ]

_________________
Director
Joined: 24 Nov 2015
Posts: 561
Location: United States (LA)
Re: The length and width of a rectangular yard are 11 meters and 5 meters [#permalink]

### Show Tags

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
Non-Human User
Joined: 09 Sep 2013
Posts: 7013
Re: The length and width of a rectangular yard are 11 meters and 5 meters [#permalink]

### Show Tags

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.
_________________
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