Going Coocoo

Algebra Level 4

I have a Coocoo Clock that strikes once every quarter hour, and strikes n times on the nth hour.

One night, I woke up and heard it strike once. I was too comfortable and didn't want to get out of bed to check the time. How long more must I stay awake (and hear the clock strike), in order to be sure of the exact time?

90 mins 30 mins 15 mins 60 mins

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