- #1
Bartholomew
- 527
- 0
Now here's a problem I thought up that I actually know the answer to
A cat and a mouse start at opposing points by the inside wall of a cylindrical box 1 meter in radius with sides too high to climb. The cat and mouse each move at a constant speed, and the cat always moves straight towards the mouse wherever the mouse is. When the cat gets within half a meter of the mouse, the cat leaps and catches the mouse. How much faster than the cat does the mouse have to be to perpetually evade capture?
A cat and a mouse start at opposing points by the inside wall of a cylindrical box 1 meter in radius with sides too high to climb. The cat and mouse each move at a constant speed, and the cat always moves straight towards the mouse wherever the mouse is. When the cat gets within half a meter of the mouse, the cat leaps and catches the mouse. How much faster than the cat does the mouse have to be to perpetually evade capture?
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