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Really depends on what you mean by "extremely fast". Decent riders can maintain a cadence - pedaling pace, of 100-120 turns-per-minute. For them, it's be a good way of tackling a very steep climb. The bike would be going slowly but their feet would be going fast.

For an average Joe, it'd probably look like they were pedaling real fast. but to a cyclist real fast would mean above 130.

Why has to do with how muscles work. Light and fairly fast is better for endurance than slow and hard.

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Q: Why might you chose a gear that make you pedal extremely fast while your bicycle was traveling slowly?
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