exactly at sunrise one morning, a buddhist monk set out to climb a tall mountain. The narrow path was not more than a foot or two wide, and it wound around the mountain to a beautiful glittering temple at the mountain peak. the monk climbed the path at varying rates of speed. he stopped many times along the way to rest and to eat the fruit he carried with him. he reached the temple just before sunser. at the temple, he fasted and meditated for several days. the he began his journey back along the same path, startin at sunrise and walking, as before, at variable speeds with many stops along the way. however his average speed gaoin down the hill was greater than his average climbing speed. prove that there must be a spot along the path that the monk will pass on both trips at exactly the same time of day
2006-10-18 19:17:41 · 5 answers · asked by Anonymous in Education & Reference ➔ Homework Help
The answer to this riddle has to deal with Brouwer's Fixed Point Theorem. It's relatively difficult for me to explain...but here's a really good explanation of it:
http://www.marginalrevolution.com/marginalrevolution/2004/08/kakutani_is_at_.html
2006-10-18 19:49:29 · answer #1 · answered by imhalf_the_sourgirl_iused_tobe 5 · 1⤊ 0⤋
The Buddhist Monk Problem
2016-11-12 22:00:15 · answer #2 · answered by Anonymous · 0⤊ 0⤋
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RE:
the Buddhist Monk problem?
exactly at sunrise one morning, a buddhist monk set out to climb a tall mountain. The narrow path was not more than a foot or two wide, and it wound around the mountain to a beautiful glittering temple at the mountain peak. the monk climbed the path at varying rates of speed. he stopped many times...
2015-08-18 12:56:56 · answer #3 · answered by Anonymous · 0⤊ 0⤋
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interesting question . . you could plot a graph for the first trip . . .time on the x axis and distance traveled on the y axis and plot the average speed. then you could plot the second trip in the same way, and assume th e time to travel is 1 minute less total. plot the distance as a negative on the y axis. then if you fold the paper along the x axis, the point of intersection of the two lines is the rough point in time and spot you're looking for. Any time less than the first time will have an intersection. If you wanted to adjust for the breaks on the way up and down, you would just take measurements in 1 second increments rather than 1 minute increments.
2016-04-03 00:44:29 · answer #4 · answered by Anonymous · 0⤊ 0⤋
The Monk was at the start of each path at sunrise.
2015-08-26 08:18:58 · answer #5 · answered by Eric 2 · 0⤊ 0⤋
So what is your question?
2006-10-18 19:36:19 · answer #6 · answered by Harvie Ruth 5 · 2⤊ 2⤋