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A garrison of 500 persons had provisions for 27 days. After 3 days a reinforcement of 300 persons arrived. For how many more days will the remaining food last now?
- a)12 days
- b)14 days
- c)16 days
- d)15 days
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A garrison of 500 persons had provisions for 27 days. After 3 days a r...
The men already in Garrison = 500
Extra men = 300
Total men now ( 500 + 300 ) = 800 men
500 men provision 24 days
1 men provision 24 x 500 days
800 men provision = 24 x 500 / 800
= 15 days
Most Upvoted Answer
A garrison of 500 persons had provisions for 27 days. After 3 days a r...
Calculation:
The initial provisions were for 500 persons for 27 days. Therefore, the total initial provisions can be calculated as:
Total provisions = 500 persons * 27 days = 13500 person-days
After 3 days, the provisions were consumed by the original 500 persons. So, the remaining provisions were for 500 persons for 24 days. The remaining provisions can be calculated as:
Remaining provisions = 500 persons * 24 days = 12000 person-days
When the reinforcement of 300 persons arrived, the total number of persons became 800. Now, the provisions need to last for these 800 persons.
Remaining days:
Now, we need to find out for how many more days the remaining food will last for 800 persons. Let's assume it will last for x days.
Therefore, the total provisions for 800 persons for x days can be calculated as:
Total provisions = 800 persons * x days = 800x person-days
Since the total provisions must remain the same, we have:
Total provisions = Remaining provisions
800x = 12000
x = 12000 / 800
x = 15 days
Therefore, the remaining food will last for 15 more days for the garrison of 800 persons.
So, the correct answer is option D) 15 days.
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A garrison of 500 persons had provisions for 27 days. After 3 days a reinforcement of 300 persons arrived. For how many more days will the remaining food last now?a)12 daysb)14 daysc)16 daysd)15 daysCorrect answer is option 'D'. Can you explain this answer?
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