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How fast must you move in the direction of the sun for it to always be the same time of day?

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SW-User
Depends on your latitude, at the equator the Earth is around 40,000 km in circumference, so you'd need to travel 40,000 km in 24 hours, which is 1666 km/h. As you get further from the equator, the circle gets smaller and you don't need to go as fast until at the poles you just have to turn your head.