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In an army camp, there are 320 soldiers. They have sufficient food for 80 days. If after 20 days, 20 soldiers left the camp, for how many more days will the food last?
- a)56
- b)48
- c)32
- d)64
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In an army camp, there are 320 soldiers. They have sufficient food for...
Given:
Total number of soldiers in the army camp = 320
Number of days the food is sufficient for = 80
Let's calculate the daily consumption of food for the army camp first.
Daily consumption = Total food / Number of days
= 320 soldiers * 80 days
= 25600 soldiers-days
After 20 days, 20 soldiers left the camp. So, the number of soldiers remaining in the camp = 320 - 20 = 300
Let's calculate the total number of soldiers-days after 20 days.
Total soldiers-days after 20 days = Number of soldiers remaining * Number of days remaining
= 300 soldiers * (80 - 20) days
= 300 soldiers * 60 days
= 18000 soldiers-days
Now, let's calculate how many more days the food will last.
Number of days the food will last = Total soldiers-days after 20 days / Daily consumption
= 18000 soldiers-days / 25600 soldiers-days
= 0.703125
Since we cannot have fractional days, we need to round up the result to the nearest whole number.
Number of days the food will last = 1
Therefore, the food will last for 1 more day after 20 days.
The correct answer is option B) 48 days.
Total number of soldiers in the army camp = 320
Number of days the food is sufficient for = 80
Let's calculate the daily consumption of food for the army camp first.
Daily consumption = Total food / Number of days
= 320 soldiers * 80 days
= 25600 soldiers-days
After 20 days, 20 soldiers left the camp. So, the number of soldiers remaining in the camp = 320 - 20 = 300
Let's calculate the total number of soldiers-days after 20 days.
Total soldiers-days after 20 days = Number of soldiers remaining * Number of days remaining
= 300 soldiers * (80 - 20) days
= 300 soldiers * 60 days
= 18000 soldiers-days
Now, let's calculate how many more days the food will last.
Number of days the food will last = Total soldiers-days after 20 days / Daily consumption
= 18000 soldiers-days / 25600 soldiers-days
= 0.703125
Since we cannot have fractional days, we need to round up the result to the nearest whole number.
Number of days the food will last = 1
Therefore, the food will last for 1 more day after 20 days.
The correct answer is option B) 48 days.
Community Answer
In an army camp, there are 320 soldiers. They have sufficient food for...
After 20days food of 320 soldiers is for 60days
20 soldiers left the camp
now,
total number of soldiers are (320-20)300
for 320 soldiers food is of 60 days
for 1 soldier food is of (60×320) days
for 300 soldiers food is of (60×320)/300=64days
food will last for (64-60) more days=4 Days more
20 soldiers left the camp
now,
total number of soldiers are (320-20)300
for 320 soldiers food is of 60 days
for 1 soldier food is of (60×320) days
for 300 soldiers food is of (60×320)/300=64days
food will last for (64-60) more days=4 Days more
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In an army camp, there are 320 soldiers. They have sufficient food for 80 days. If after 20 days, 20 soldiers left the camp, for how many more days will the food last?a)56b)48c)32d)64Correct answer is option 'B'. Can you explain this answer?
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