# Making races equal

Classical Mechanics Level 2

If you ever watch track and field at the Olympics, you'll notice that the starting points of the runners are not even if the race is run on a curve and the runners have to run in lanes. This is to offset the fact that the distances along each lane are unequal on a curve. To see this effect, consider two runners, each of whom runs at a speed of $$7~\mbox{m/s}$$. The runners run on a circular track. The radius of the inside lane is $$50~\mbox{m}$$, and the radius of the outside lane is $$51~\mbox{m}$$. By how many seconds will the inside runner beat the outside runner if they each run once around the track?

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