A military garrison in a wild frontier has 600 men : GMAT Problem Solving (PS)
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# A military garrison in a wild frontier has 600 men

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A military garrison in a wild frontier has 600 men [#permalink]

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21 Feb 2013, 21:05
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Question Stats:

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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
[Reveal] Spoiler: OA
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Re: A military garrison in a wild frontier has 600 men [#permalink]

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21 Feb 2013, 21:41
2
KUDOS
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
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GMAT 1: 740 Q49 V42
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Re: A military garrison in a wild frontier has 600 men [#permalink]

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21 Feb 2013, 21:50
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

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Re: A military garrison in a wild frontier has 600 men [#permalink]

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22 Feb 2013, 00:51
1
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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.
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Re: A military garrison in a wild frontier has 600 men [#permalink]

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27 Jul 2014, 09:45
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Re: A military garrison in a wild frontier has 600 men   [#permalink] 27 Jul 2014, 09:45
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The content of the passage is structured as a mathematical word problem. It describes a situation where a military garrison has a certain number of men and provisions that last for a specific duration. The problem then introduces a change (additional men joining) and asks for the new duration the provisions will last.
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Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
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A military garrison in a wild frontier has 600 men : GMAT Problem Solving (PS)
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# A military garrison in a wild frontier has 600 men

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Intern
Joined: 25 Jan 2013
Posts: 24
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Kudos [?]: 40 [0], given: 11

A military garrison in a wild frontier has 600 men [#permalink]

### Show Tags

21 Feb 2013, 21:05
4
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

76% (03:22) correct 24% (02:37) wrong based on 83 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
[Reveal] Spoiler: OA
Manager
Joined: 24 Sep 2012
Posts: 90
Location: United States
GMAT 1: 730 Q50 V39
GPA: 3.2
WE: Education (Education)
Followers: 5

Kudos [?]: 131 [2] , given: 3

Re: A military garrison in a wild frontier has 600 men [#permalink]

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21 Feb 2013, 21:41
2
KUDOS
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
Moderator
Joined: 02 Jul 2012
Posts: 1231
Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE: Engineering (Energy and Utilities)
Followers: 117

Kudos [?]: 1393 [0], given: 116

Re: A military garrison in a wild frontier has 600 men [#permalink]

### Show Tags

21 Feb 2013, 21:50
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
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Kudos [?]: 1120 [1] , given: 136

Re: A military garrison in a wild frontier has 600 men [#permalink]

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22 Feb 2013, 00:51
1
KUDOS
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.
_________________
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Joined: 09 Sep 2013
Posts: 13526
Followers: 577

Kudos [?]: 163 [0], given: 0

Re: A military garrison in a wild frontier has 600 men [#permalink]

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27 Jul 2014, 09:45
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: A military garrison in a wild frontier has 600 men   [#permalink] 27 Jul 2014, 09:45
Similar topics Replies Last post
Similar
Topics:
A military commander has to choose 4 soldiers out of a company of 7 fo 6 14 Nov 2016, 02:54
21 A new tower has just been built at the Verbico military 11 20 Dec 2011, 07:05
11 2,600 has how many positive divisors? 11 28 Oct 2010, 16:10
1 4% of population of country L has military experience and supports a w 2 30 Mar 2010, 20:25
8 If a class of 10 students has five men, how many ways can the men and 7 12 Jan 2010, 06:01
Display posts from previous: Sort by
user
The content of the passage is structured as a mathematical word problem. It describes a situation where a military garrison has a certain number of men and provisions that last for a specific duration. The problem then introduces a change (additional men joining) and asks for the new duration the provisions will last.

TYPE: SINGLE_QUESTION_WITH_ANSWER