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Published byTobias Porter Modified over 9 years ago
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The Athletic Track An Investigation
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The Athletic Track The diagram shows an athletic track with four running lanes. An athlete when running in a lane will be assumed to be running in the centre of his/her lane. Field 80m Running lanes are all 1m wide 75.4m Track
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Show that an athlete running in the first lane will cover 400 metres in one lap of the track. How far apart will the start positions in the other lanes be so that all athletes will run 400 meters in one lap of the track?
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Solution For the middle of the inside lane, d=76.4 and this gives a lap distance of 3.14 76.4+160=400m For the second lane the diameter is 77.4m i.e. the inside lane diameter + 1. This gives a perimeter of 403.14. Therefore the distance between start markers has to be 3.14m.
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