Imagine that there is a circular track given by the equation x2+y2=2102500, where both x and y are measured in units of feet. At time t=0, Robin is at point (1450,0) and Shannon is at point (−170,1440). Both are running counterclockwise, with Shannon running at 2.3 feet per second and Robin running at 3.6 feet per second.

Question

Imagine that there is a circular track given by the equation x2+y2=2102500, where both x and y are measured in units of feet. At time t=0, Robin is at point (1450,0) and Shannon is at point (−170,1440). Both are running counterclockwise, with Shannon running at 2.3 feet per second and Robin running at 3.6 feet per second.
Robin runs until he catches Shannon. How long does that take?

At what point do Robin and Shannon meet?

Reiny · Answer

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