Trying to think of a quick solution to the swinging wheel problem - How about the wheel is mounted on a spring so that when her weight is on it, it moves down a little, maybe half an inch, and the "orbit" of the magnets then lines up with the sensor. When she jumps off, the wheel moves up and the magnets no longer come close enough to the sensor to register.
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Work: the 8 hours that separates bike rides.