An army camp of 200 men has enough food for 600 days. How long will it last if the number of men in the camp is reduced to 160?

An army camp of 200 men has enough food for 600 days. How long will it last if the number of men in the camp is reduced to 160?
Answer: 750 days

Food duration is inversely proportional to the number of men. For 200 men, food lasts 600 days, so total food supply is 200 × 600 = 120,000 man-days. For 160 men, duration = 120,000 ÷ 160 = 750 days. Studying this highlights inverse proportion, providing lessons on resource allocation for efficient planning in logistics.