[extropy-chat] Puzzle - Short Tale
Don Dartfield
twodeel at jornada.org
Thu Feb 5 21:36:09 UTC 2004
On Thu, 5 Feb 2004, natashavita at earthlink.net wrote:
> 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.
Well, if you imagine that the two journeys are superimposed on each other,
with Monk A starting up the mountain and Monk B starting down the mountain
at the same time, there must come a point where they would pass each other
-- that seems like the point at which the monk would be in the same place
at the same time on both days.
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