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 km/hr10 \text{ km/hr}. The runner at AA maintains his direction towards the runner at BB, BB towards CC & so on.

Suppose the length of the side of the square is 100 m100 \text{ m}, when will the runners meet?

Give your answer in seconds.

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