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Question
In a fort $$150$$ men had provisions for $$45$$ days. After $$10$$ days $$25$$ men left the fort. How long would the food last at the same rate?
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Solution
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After $$10$$ days: For $$150$$ men, provision will last $$(45-10)$$ days $$=35$$ days For $$1$$ man, the provisions will last $$=150\times 35$$ days And for $$(150-25)=125$$ men, the provisions will last for $$=\dfrac {150\times 35}{25}=42$$ days.
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In a fort 150 men had provisions for 45 days. After 10 days, 25 men left the fort. How long would the foor last at the same rate?