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Two runners start at vertices A and B simultaneously and run clockwise around the perimeter of square ABCD at the same speed. A drone flies so that it is always at the midpoint of the two runners.  What is the minimum distance between the two runners?  What is the maximum distance between the two runners?

 May 27, 2025
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Two runners start at vertices A and B simultaneously and run clockwise around the perimeter of square ABCD at the same speed. A drone flies so that it is always at the midpoint of the two runners.  What is the minimum distance between the two runners?  What is the maximum distance between the two runners?    

 

See this problem at https://web2.0calc.com/questions/geometry_69250    

There, I solved the problem using trending, and Chris solved it using calculus.    

.    

 May 27, 2025

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