HMMT 2008 U8
- Guts
- Answer
Trodgor the dragon is burning down a village consisting of 90 cottages. At time an angry peasant arises from each cottage, and every 8 minutes ( 480 seconds) thereafter another angry peasant spontaneously generates from each non-burned cottage. It takes Trodgor 5 seconds to either burn a peasant or to burn a cottage, but Trodgor cannot begin burning cottages until all the peasants around him have been burned. How many seconds does it take Trodgor to burn down the entire village?
Dataset text NuminaMath olympiads. Quoted with source.
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1920
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