Things are getting interesting!. Here is the 2nd logic puzzle:
One morning at 7 am a hermit began to climb a mountain. The narrow path, no more than a foot or two wide, spiraled around the mountain to the summit. The hermit ascended the path at varying rates of speed, stopping along the way to rest and eat. He reached the summit shortly before sunset. He spent the night and began his journey back along the same path, starting at 7 am the next day.
Can you prove that there is a spot along the path that the hermit has occupied on both trips at precisely the same time of day?
Responses can be submitted in the comment section below. Will unmask later on this week, thanks!