Building a new track – 4

Algebra Level 4

Obviously, running in the outside lanes of a track is a disadvantage, and of course, these lanes' starting lines are offset to account for that.

For every lap that has to be run in lane 8 (in most stadiums the outermost lane), the runner gets a head start of 53.66m.

If a 10,000m race was held on a 400m-track where each runner has to stay in their lanes for the whole race, where would the runner in lane 8 have to start to finish at the finish line?

Near the 200m start Near the finish Near the 300m start Near the 100m start

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1 solution

Henry U
Dec 30, 2018

10000m in a 453.66m-lane means 10000 ÷ 453.66 22.043 10000 \div 453.66 \approx 22.043 laps, so 22 laps and 19.48m, which means the runner has to start about 20m away from the finish line .

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