20 men had provisions for 200 days. After 5 days, 30 men died due to an epidemic. The remaining food will last for
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The food provision is sufficient for 120*200 = 24000 man-days.
In 5 days the provision consumed by 120 men = 120*5 = 600 man-days.
Remaining provisions = 24000 - 600 = 23400 man-days.
Men remaining after 5 days = 120 - 30 = 90 men.
The remaining provisions will last the 90 another 23400 man-days/ 90 men = 260 days..
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