a garrison of 500 men has provisions for 24 days however,a reinforcement of 300 men arrived.for how many days will the food last now ?
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Answer: 15 days
Step-by-step explanation:
Let the food eaten by one man in 1 day be x. Therefore food eaten by 500 men in 1 day will be 500x. Therefore the food eaten by 500 men in 24 days will be 24 × 500x = 12000x
As more 300 men arrived total men now will be 500+300=800
Therefore this 800 men will eat 800x of food in one day.
Therefore the number of days 12000x of food will last now = 12000x / 800x
= 15 days.
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