the Buddhist monk problem?

Question

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

Answer 1

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.

Answer 2

In Thailand, there is an obesity problem going on. Many poor Thais, trying to get better karma are giving lots of stuff mainly food to temples more so than they would normally in a Buddhist version of the prosperity gospel, the monks are not allowed to refuse and not allowed to throw away so.....

Answer 3

It's easy to see the proof by drawing a graph representing those two days, with one axis as the time and the other as the height.

Assuming he took the same path, you can see that the two lines cross, no matter how you draw them. Where they cross it is the same time and height, and therefore the same place on the path.

I don't know how to write it as a mathematical proof, but the graph experiment will give you all you need to figure out the rest.

Answer 4

Can't understand your grammer. You need to learn to write also.

Answer 5

monks are used to it. so where is the question on it

Answer 6

for pete's sake...a religious word problem???!!!!!! Too late at night...will check back for real answer...good luck y'all.

Answer 7

I can't I'm not that smart