MathDB
Death Run

Source:

March 16, 2010
Pythagorean Theoremgeometry

Problem Statement

While out for a stroll, you encounter a vicious velociraptor. You start running away to the northeast at 10m/s 10 \text{m/s}, and you manage a three-second head start over the raptor. If the raptor runs at 152m/s 15\sqrt{2} \text{m/s}, but only runs either north or east at any given time, how many seconds do you have until it devours you?