A fort had provisions of food for 150 men for 45 days. After 10 days, 25 men left the fort. For how many more days will the remaining food last?

29 1/5
37 1/4
42
54

Correct answer: 42

Solution

Total food = 150 × 45 = 6750 man-days. In 10 days, 150 men consume 1500 man-days, leaving 5250 man-days. After 25 men leave, 125 men remain, so the food lasts 5250/125 = 42 days.

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