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A monk walks up a mountain to visit his friend in a monastery at the top. He sets out at 6am. He climbs, rests, prays and admires the view as he goes. He finally arrives at the monastery at the top of the mountain, spends the night there and heads back down the next morning along the same route. What are the chances that he will be at the exact same spot at the exact same time on both days? Please provide your reasoning.

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I have heard this one before, are you sure it isn't already on this board?

I'm not sure it isn't already on this board. TO be honest I don't do an exhaustive search for a puzzle before I post one. I figure that there will be new comers to the board who will not thrall back through all previous postings in search of riddles and they might enjoy seeing it in current postings.

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The actual Problem is

"One morning at sunrise a Buddhist monk began to climb a mountain on a narrow path that wound around it. He climbed at a steady 3 miles per hour. After 12 hours he reached the top where there was a temple and remained there to meditate for several days. Then, at sunrise he started down the same path, walking at a steady 5 miles an hour. Prove that there must be a spot along the same path which he occupied on both trips at exactly the same time of day."

This is called Buddhist Monk Probem.

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The actual Problem is

"One morning at sunrise a Buddhist monk began to climb a mountain on a narrow path that wound around it. He climbed at a steady 3 miles per hour. After 12 hours he reached the top where there was a temple and remained there to meditate for several days. Then, at sunrise he started down the same path, walking at a steady 5 miles an hour. Prove that there must be a spot along the same path which he occupied on both trips at exactly the same time of day."

This is called Buddhist Monk Probem.

The speed at which the monk climbs/descends, the time he/she takes, is irrelevant as far as the solution is concerned.

.. and as long as the starting times are the same, there will be exactly one point along the way where the monk would be present at the same time of the day

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The answer is.....

Yes, (were you expecting a ratio?)

My logic 'is'...

Given: Two fixed points, one fixed time, and the assumption that time travel does not exist.

This is a simple two line graph using X = time & Y = location

The two lines ALWAYS cross..

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