A monk is climbing a hill. > A monk climbs a mountain . He starts at 8AM and reaches the summit at 5 PM.He spends the night on the summit. The next morning, he leaves the submit at 8AM and descends by the same route that he used the day before, reading the bottom at 5PM.Prove that there is a time between 8AM and 5PM at which the monk was at exactly the same spot on the mountain on both days.(Notice that we do not specify anything about the speed that the monk travels. For example, he could face at 100 miles per hour for the first few minutes, then sit still for an hour, then travel backward,etc. Nor does the monk have to travel at the same speeds going up as going down.) My friend gave me the problem but I don't know how to start.I don't know think. Please help me.

**Note:** Not a mathematical proof. A logical one.

> Just visualise **Monk I** going up the hill and **Monk 2** coming down the hill. There will be a time in the trip when both of them meet.

Or you can just draw position-time graph of both the trips and it is easy to prove that they must intersect.