Mountain Problem

## The Problem

One day at noon, Annie runs to the top of a mountain. She sits and ponders the meaning of life until the next day at noon at which time she runs down the mountain along the same trail that she ran up. Was she necessarily at some point on the mountain trail at the same time on both days? Prove your answer. — Mr. Simmons

## The Solution

page revision: 3, last edited: 14 May 2008 13:23