Quote:
Originally Posted by QuikSand
So, I'm thinking about right triangles here... right, this ends up being a trig problem?
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I think you are right. Assuming the duck turns at the last moment and moves diagonally, the duck should travel the radius and the hypotenuse of a right triangle to get to another quarter way around the lake. This means the dog would have to go 3/4 around the lake in the same time to catch the duck. I got that far.
I tried comparing those and got that the dog needs to be about 4 times faster (I got 3.9 and some change).