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

 It is currently 20 Oct 2018, 04:13

### 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

# A military garrison in a wild frontier has 600 men

Author Message
TAGS:

### Hide Tags

Intern
Joined: 25 Jan 2013
Posts: 24
A military garrison in a wild frontier has 600 men  [#permalink]

### Show Tags

21 Feb 2013, 22:05
1
4
00:00

Difficulty:

45% (medium)

Question Stats:

74% (02:42) correct 26% (02:40) wrong based on 119 sessions

### HideShow timer Statistics

A military garrison in a wild frontier has 600 men who have provisions to last 26 weeks. At the end of 6 weeks they are joined by another 300 men. How long will the provisions last?

A. 13 1/3
B. 12 1/3
C. 11 3/3
D. 12 1/2
E. 12 3/4
Manager
Joined: 24 Sep 2012
Posts: 84
Location: United States
GMAT 1: 730 Q50 V39
GPA: 3.2
WE: Education (Education)
Re: A military garrison in a wild frontier has 600 men  [#permalink]

### Show Tags

21 Feb 2013, 22:41
2
2
Total provisions=600*26*7=109200

Provisions used for in 6 weeks=6*7*600=25200

remaining provisions=84000

remaining provisions need to be split between 900(600+300) people.

Number of provisions per person= 84000/900

we need to find the answer in terms of weeks=(84000/900)/7=131/3

Hope it helps!

antoxavier wrote:
A military garrison in a wild frontier has 600 men who have provisions to last 26 weeks. At the end of 6 weeks they are joined by another 300 men. How long will the provisions last?

A. 13 1/3
B. 12 1/3
C. 11 3/3
D. 12 1/2
E. 12 3/4
VP
Joined: 02 Jul 2012
Posts: 1184
Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: A military garrison in a wild frontier has 600 men  [#permalink]

### Show Tags

21 Feb 2013, 22:50
antoxavier wrote:
A military garrison in a wild frontier has 600 men who have provisions to last 26 weeks. At the end of 6 weeks they are joined by another 300 men. How long will the provisions last?

A. 13 1/3
B. 12 1/3
C. 11 3/3
D. 12 1/2
E. 12 3/4

Assume 1 group = 300 men, And 1 group can eat one box

So.,
52 boxes will cover 2 groups for 26 weeks

In 6 weeks, 2 groups will have consumed 12 boxes.

Remaining = 40 boxes
New No. of groups = 3

No. of weeks = 40/3 = 13.33

_________________

Did you find this post helpful?... Please let me know through the Kudos button.

Thanks To The Almighty - My GMAT Debrief

GMAT Reading Comprehension: 7 Most Common Passage Types

Verbal Forum Moderator
Joined: 10 Oct 2012
Posts: 613
Re: A military garrison in a wild frontier has 600 men  [#permalink]

### Show Tags

22 Feb 2013, 01:51
1
So we know that the number of the weeks of provision left is inversely proportional to the number of people.

Thus, at the end of 6 weeks, the total provision left is for 20 weeks.

Thus, $$600*20 = 900*x$$

or $$x = \frac{40}{3} = 13.3333$$

A.
_________________
Manager
Status: Single
Affiliations: None
Joined: 09 Dec 2016
Posts: 112
GPA: 3.9
WE: Asset Management (Advertising and PR)
Re: A military garrison in a wild frontier has 600 men  [#permalink]

### Show Tags

24 Jan 2017, 15:30
Not sure this is the type of question we would have though.
Board of Directors
Joined: 17 Jul 2014
Posts: 2657
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
Re: A military garrison in a wild frontier has 600 men  [#permalink]

### Show Tags

26 Apr 2017, 15:41
used a slightly faster approach.
6 weeks are out, we are left with 20 weeks of provisioning.
say 1 soldier needs 1 unit - so for 20 weeks, we are left with 12,000 units.
we are then added 300 soldiers.
12,000/900 = 13 1/3
Re: A military garrison in a wild frontier has 600 men &nbs [#permalink] 26 Apr 2017, 15:41
Display posts from previous: Sort by