Question
Download Solution PDFA fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of further days for which the remaining food will last, is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Food for 150 men for 45 days
After 10 days, 25 men left
Concept:
The remaining food is the total provision for all men minus the food that was already consumed. The provision will last longer since the number of men has now decreased.
Calculation:
Food consumed in the first 10 days = 150 men * 10 days = 1500 man-days
Total food provision was = 150 men * 45 days = 6750 man-days
Remaining food = Total food - Food consumed = 6750 man-days - 1500 man-days = 5250 man-days
Number of men remaining = Initial men - Men who left = 150 men - 25 men = 125 men
Further days the food will last = Remaining food / Number of men remaining = 5250 man-days / 125 men = 42 days
∴ The remaining food will last for 42 more days.
Last updated on Jun 12, 2025
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