You're blindfolded, disoriented, and standing one mile from the Great Wall of China. How far do you have to walk to guarantee that you will run into the wall?
Assume that the wall is infinitely long and straight.
(In reply to
re(2): Much shorter solution by Joshua)
Joshua:
Well, that still doesn't work. For example, assume that the wall runs East to West, you start 1 mile south, and you start walking northwest.