Swimsuits should not cover the neck, must not extend past the shoulders and ankles, also the suits' thickness and buoyancy is limited. Maximum thickness of the sole of the shoe should not exceed 20 mm for some events and 25 mm for another. Some medications are forbidden, similar are allowed, others are forbidden unless you have asthma. Rules of the modern Olympics, while every single of them sounds reasonable, may seem insane as a whole.
Sick of that, we decided to conduct our own Olympics. Now participants can use everything they want. The only restriction is that the only allowed energy source is one's muscle power.
Our Olympics will have only one event. There is a track of about 10 km long, and the goal is to get from the start to the finish line as fast as possible. Now I give some details.
- The track is a regular medium-distance running or cycling track. It is a several meters wide road paved with asphalt. Mostly strait, but turns are possible. Terrain is mostly flat with insignificant hills.
- You can assume that you will be the only participant on a track at a time, there will be no contention at any time.
- You can use any mechanical devices (skates, bicycles, pogo sticks) unless they do not provide you extra source of energy. It is pretty hard to formalize it in the real world, so let's stick to this: any device you use should be capable of running through the same track after the race is finished without refueling of any kind, except for wearing out of some parts.
- Horse: not OK. The animal has its own source of energy and muscle power.
- Bicycle (not electric): OK. You use your muscle power to run the bicycle. Tires wear out during the ride, but it is a natural process.
- Bicycle powered by a flywheel: OK, if the flywheel is stopped at the beginning of the race. When the race starts, you can use your muscle power to rotate the flywheel and to conserve some energy in it.
- Pacemaker: not OK. It has a built-in battery. You can use it, however, if you charge the battery with a dynamo machine right after the start.
- You should not rely on any renewable sources of energy like wind and sun. Would it be sunny or cloudy, would it be calm or wind in the face, it should not affect your result significantly.
- However, you may expect mild weather conditions. 15-20 Celcius, partly cloudy, no precipitation.
- You are not required to travel by ground. If you think autogyro will give you victory, feel free to try. In this case we assume that the track is strait and has no significant shortcuts.
- If you use something you must bring it from the starting point. If you need a bottle of water, carry it with you. If you need a spare tire... well, let's assume that nothing unexpectedly breaks.
- Regarding doping: no regulations follow. You can assume that modern rules apply, or you can assume that any medication is allowed and the athlete will be stuffed with pills to show his best and pass away after the race. Any assumptions are fine.
Your team is enrolled in the competition. You can pick any living athlete to train: if you wish so, Usein Bolt will compete for you using the devices you'll make. You have five years and one billion dollars to prepare for the race. What means of transportation will you use and how quickly will you complete the track?
I definitely have not covered some loopholes, so if you see any please leave a comment. I hope that the spirit of the competition is comprehensible. Answers for different lengths of the track are welcome.