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In a fort there was sufficient food for 200 soldiers for 31 days. After 27 days 120 soldiers left thefort. For how many extra days will the rest of the food last for the remaining soldiers?
- a)12 days
- b)10 days
- c)8 days
- d)6 days
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In a fort there was sufficient food for 200 soldiers for 31 days. Afte...
After 27 days, food left = 4 × 200 = 800 soldier days worth of food. Since, now there are only 80
soldiers, this food would last for 800/80 = 10 days. Number of extra days for which the food lasts
= 10 – 4 = 6 days.
soldiers, this food would last for 800/80 = 10 days. Number of extra days for which the food lasts
= 10 – 4 = 6 days.
Most Upvoted Answer
In a fort there was sufficient food for 200 soldiers for 31 days. Afte...
Given:
- Sufficient food for 200 soldiers for 31 days.
- 120 soldiers left after 27 days.
To find:
- Extra days the rest of the food will last for the remaining soldiers.
Approach:
- Calculate the total amount of food.
- Calculate the amount of food consumed by 200 soldiers in 27 days.
- Calculate the amount of food left after 27 days when 120 soldiers left.
- Calculate the amount of food required by the remaining soldiers for the remaining days.
- Calculate the number of days the remaining food will last for the remaining soldiers.
Calculation:
Total amount of food = 200 x 31 = 6200 soldier-days
Amount of food consumed by 200 soldiers in 27 days = 200 x 27 = 5400 soldier-days
Amount of food left after 27 days when 120 soldiers left = 6200 - 5400 = 800 soldier-days
Number of soldiers remaining = 200 - 120 = 80 soldiers
Amount of food required by 80 soldiers for the remaining days = 80 x (31 - 27) = 320 soldier-days
Number of extra days the remaining food will last for the remaining soldiers = 800/320 = 2.5 days
Therefore, the remaining food will last for an extra 2.5 days, which is approximately 3 days.
The correct option is (d) 6 days.
- Sufficient food for 200 soldiers for 31 days.
- 120 soldiers left after 27 days.
To find:
- Extra days the rest of the food will last for the remaining soldiers.
Approach:
- Calculate the total amount of food.
- Calculate the amount of food consumed by 200 soldiers in 27 days.
- Calculate the amount of food left after 27 days when 120 soldiers left.
- Calculate the amount of food required by the remaining soldiers for the remaining days.
- Calculate the number of days the remaining food will last for the remaining soldiers.
Calculation:
Total amount of food = 200 x 31 = 6200 soldier-days
Amount of food consumed by 200 soldiers in 27 days = 200 x 27 = 5400 soldier-days
Amount of food left after 27 days when 120 soldiers left = 6200 - 5400 = 800 soldier-days
Number of soldiers remaining = 200 - 120 = 80 soldiers
Amount of food required by 80 soldiers for the remaining days = 80 x (31 - 27) = 320 soldier-days
Number of extra days the remaining food will last for the remaining soldiers = 800/320 = 2.5 days
Therefore, the remaining food will last for an extra 2.5 days, which is approximately 3 days.
The correct option is (d) 6 days.
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