A monk leaves at sunrise and walks on a path from the front door of
his monastery to the top of a nearby mountain. He arrives at the
mountain summit exactly at sundown. The next day, he rises again at
sunrise and descends down to his monastery, following the same path
that he took up the mountain.

Assuming sunrise and sunset occured at the same time on each of the two days, prove that the monk must have been at some spot on the path at the same exact time on both days.

Assuming sunrise and sunset occured at the same time on each of the two days, prove that the monk must have been at some spot on the path at the same exact time on both days.

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