[extropy-chat] Puzzle - Short Tale

[natashavita at earthlink.net]

Can anyone answer this?

A monk wakes one morning and decides to climb the mountain next to his hut.
He sets out right after dawn, follows the path to the top and arrives at
the top of the mountain in the late afternoon.  He spends the night near
the top of the mountain and descends along the same path the next day,
leaving again right after dawn and arriving in the afternoon.  Question: 
Is there a spot on the path where the monk is at the exact same time on the
two days?  Prove your answer. 

Natasha

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