Is it possible to have 24 - hour sunlight at the equator? If yes, what is the speed required to achieve this?

Anonymous
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Since the Earth is generally believed to rotate around the sun, and the Earth having its own axis of rotation (to rotate about itself), it should be possible for a person to start at a point, move in the opposite direction of Earth's spin, and manage to have 24 hours of daylight. What is the speed at which one needs to move to see this effect?