After trying many combinations of gears... we discovered that 15x really did work better.
The images above are of a 18x ratio. You can see the intermediates (the 24 tooth gears) because the 16 tooth gear doesn't fit nicely with a 8. HOWEVER, it stalled.
...with a higher torque, it stalled. Yes, this makes no sense! I think the friction caused by so many gears slowed down the wheels. And every other ratio between 15 and 24 (ie, anything that required a 16 tooth gear and intermediates) was slower than the 24x car.
Still, our car (the MYSTICAL UNICORN, as Casey dubbed it) made it to the finals! It didn't win though...
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