Darkness is the lack of light. So I guess it has no speed in and of itself, but can propagate as fast as light can disappear (so at the speed of light).
The speed of light is the speed of light waves traveling through a vacuum. What we see is our eyes receiving light waves, when things are dark this is due to an absence of light but we are still receiving waves in order to know it’s dark.
So like Alex said, darkness travels at the same speed.
Think of it this way, it would take the same time to know if the thing you were looking at was dark as if it was light, since you would have to wait to see if the light ray reached you.
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