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Without knowing his latitude, not a lot.

All that can be said for certain is that he has travelled 10 km in an easterly direction.

At a specific latitude the cyclist will circle the pole exactly once and end up where he started. Closer to the pole and the cyclist will travel more than once around the pole - complete revolutions and possibly part of a revolution. Farther from the pole (ie closer to the equator) the cyclist will be 10 km east of his start position and somewhere west of his start position.

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Q: A bicyclist has been riding east for 30 minutes at 20 kilometers per hour What can you infer about his position?
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