A fort had enough food for 120 soldiers for 200 days. After 5 days, 30 soldiers leave for the battle. How long will the remaining food last now?
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Step-by-step explanation:
120 men had a food provision for 200 days. After 5 days, 30 men died due to an epidemic. How long would their remaining food last?
Lets assume required food per person per day=x
Food for 120 people for 1 day=120x
Total available food=120x*200(food available for 200 days for 120 people)
Total food =24000x
Food consumed in 5 days=120x*5=600x
Food left after 5 days=24000x-600x=23400x
As 30 people died after 5 days, remaining people 90
Food required for 90 people for day =90x
No of days food can be consumed for 90 people=food left/food consumption per day
=23400x/90x
=260
So their remaining food will be last for another 260 days .
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