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
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5 answers
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Anonymous