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You'd be trying to outrun The Terminator (not that one). It varies with latitude and at the equator it moves at 463 m/s = 1035 mph.
This page has a formula:
463.8212 * cos(lat) = velocity in meters per second
For London's famous London that's 638 mph.
grams
If I want to ride off into the sunset on a horse, how fast do I need to ride for that sunset to never end?