An army camp of 200 men has enough food for 60 days. How long will the food last if the number of men in the camp is reduced to 160?
- 80
- 75
- 70
- None of these
Explanation
Initial situation: 200 men have enough food for 60 days.
Reduced situation: 160 men (40 fewer men than initially).
Since there are fewer men, the food will last longer. To find out how long, we can set up a proportion:
200 men / 160 men = 60 days / x days
Where x is the number of days the food will last with 160 men.
Cross-multiplying and solving for x:
200x = 60 × 160
200x = 9600
x = 9600 ÷ 200
x = 75
So, the food will last 75 days if the number of men in the camp is reduced to 160.
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