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13 Feb 2020, 07:33
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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
A. 13 1/3
B. 12 1/3
C. 11 3/3
D. 12 1/2
E. 12 3/4
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13 Feb 2020, 08:38
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Bunuel
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
A. 13 1/3
B. 12 1/3
C. 11 3/3
D. 12 1/2
E. 12 3/4
There are several issues with the wording - it's not clear what unit of time the question is asking about, and the right answer is not, as I would interpret the question, among the choices. I'd think the first 6 weeks should be counted when we determine how long the provisions will last, but that's not the intention here -- the question means to ask "how much longer will the provisions last" (after the arrival of the 300 people). Answer C also almost surely contains a typo -- no GMAT answer choice would read "11 3/3", which just means 12.
If we increase the number of people by a factor of 3/2, the provisions will last 2/3 as long, and since there remains 20 weeks of provisions after the first 6 weeks have elapsed, they will last (2/3)(20) = 40/3 = 13 + 1/3 weeks.
14 Feb 2020, 03:09
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Question:
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?
600 men had provisions for 26 weeks
After 6 weeks, those 600 men would still have provisions for 26-6 = 20 weeks
However, now, 300 men join them (300 = 1/2 * 600), hence the number of men has become 1 + 1/2 = 3/2 times of their initial number
Thus, the number of weeks would become 2/3 times (2/3 is the reciprocal of 3/2) of the original value of 20 weeks
(NOTE: This is because time is inversely proportional to the number of men)
This, time = 2/3 * 20 = 13 & 1/3 weeks
Answer A
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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?
600 men had provisions for 26 weeks
After 6 weeks, those 600 men would still have provisions for 26-6 = 20 weeks
However, now, 300 men join them (300 = 1/2 * 600), hence the number of men has become 1 + 1/2 = 3/2 times of their initial number
Thus, the number of weeks would become 2/3 times (2/3 is the reciprocal of 3/2) of the original value of 20 weeks
(NOTE: This is because time is inversely proportional to the number of men)
This, time = 2/3 * 20 = 13 & 1/3 weeks
Answer A
Posted from my mobile device
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
