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?

Give your answer in seconds.

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