Two runners are to race one lap on a circular track. The radius to the inside track. The radius to the inside lane is 50 meters. The radius to the outside lane is 51 meters. How much of a head start should the runner on the outside get?

Question

Mathematics

Charlee Mccall

18 September, 11:51

Two runners are to race one lap on a circular track. The radius to the inside track. The radius to the inside lane is 50 meters. The radius to the outside lane is 51 meters. How much of a head start should the runner on the outside get?

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Answers (1)

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Kobe Miller · Answer 1

If each guy stays in his own lane, then each one runs the

circumference of his circle.

Circumference of the lane with 50 meters radius = (2 x 50) π.

Circumference of the lane with 51 meters radius = (2 x 51) π.

The circumference of the outer lane is 2π meters greater than

the circumference of the inner lane. So the runner in the outside

lane should have a head start of 2π meters = 6.2832 meters

= 20 feet 7.4 inches.