When Two Runners Meet

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Two runners start to run along a highway from different positions and and with different velocities and within a time of 1000 seconds. The plots show their positions as a function of time and the instant in time when they meet, as well as the position where this happens.

Contributed by: Enrique Zeleny (March 2011)
Open content licensed under CC BY-NC-SA



The problem is equivalent to finding the intersection of two straight lines given by the equations , , where is the distance run and is the time.

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