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A big ship wrecked and $$1000$$ people landed on a remote island. The food material was available for them for $$60$$ days. After $$16$$ days another small ship, which had no food stock, wrecked and $$100$$ people landed on the same island. The number of days the food material for all of them is available is
The initial food stock is $$1000\times 60=60000$$ person-days. In the first $$16$$ days, $$1000\times 16=16000$$ person-days are consumed, leaving $$44000$$ person-days. For $$1100$$ people, this lasts $$\frac{44000}{1100}=40$$ days.
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