# Will They Ever Meet?

Calculus Level 4

Four runners are situated at the four corners of a square. They start running at a rate of $$10 \text{ km/hr}$$. The runner at $$A$$ maintains his direction towards the runner at $$B$$, $$B$$ towards $$C$$ & so on.

Suppose the length of the side of the square is $$100 \text{ m}$$, when will the runners meet?