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is taking forever to travel an infinite distance still infinite speed

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No, that means you are taking infinite time for covering infinite distance, you gotta cover infinite distance within finite time
 
If it takes forever to travel an infinite distance then they aren't travelling that distance infinitely fast
 
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As the others said, If you cover an infinite distance within a finite amount of time, then yeah it'd be infinite speed. If it takes an infinite amount of time to cover an infinite distance, then it's not really infinite speed, since that can be covered at any finite level of speed just by having the stamina to cover that infinite distance for an infinite amount of time. .
 
if it takes a finite time then how is it infinite speed
It'd depend on if you were using the term forever in a literal or figurative sense. This makes me think that you're using the term forever figuratively ("a seemingly interminable time : excessively long [amount of time]"), wherein the character's speed would then depend on how long forever was... or would, if the distance didn't equal literal infinity. (You could also use the term "infinite" in "infinite distance" figuratively, to mean something more like "being or seeming to be without limits," in which case it would then depend upon if the size of the space was ever disclosed.) If you're using the term forever literally (specifically the first definition Merriam-Webster lists, "for a limitless time"), then it would not be a finite amount of time, and thus would not be infinite speed.
 
Infinity divided by infinity is indeterminate. But the question has already been answered above.
 
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