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Victor2: From his given comment I understand that we know that kaio's planet is in the center of the universe.
If we know that Kaio's planet is in the center of the universe (or just 1 million km away) without the map we could still get the distance, given that I believe we know that earth is at the edge of the universe.
Question is if we know that.
If we know that we take simply half the dimeter of the observable universe as distance. That is 4.4*10^26 meters. He scales a diagonal line there which we can not use without relying on the map I would believe, hence our result for distance is a bit lower than his.
So lets assume we know that (though we will need a source on that) the second question is why do we use the timeframe as given?
"- Beerus' planet is 35 minutes from Earth
- 26 minutes from Kaio's"
I will assume that we know those as facts (I will remind again that I really am not familiar with dragonball).
35 minutes and 26 minutes are pretty much distances here (multiply with what whis speed will end up as and you get distance).
What can we conclude for speed from that?
Well, since we talk about the metric of space here the triangle inequality is in any case given.
So distance between Kaios planet and Earth Ôëñ distance between Beerus planet and earth + distance between Beerus planet and Kaios planet.
So the low end value (the highest possible timeframe) would be 35 minutes + 26 minutes = 61 minutes. So a bit more than an hour.
Now for the lowest possible timeframe. We use triangle inequality again.
Distance Beerus Planet to Earth Ôëñ Distance Earth to Kaios Planet + Distance Kaios planet to Beerus Planet
<=> 35 minutes Ôëñ Distance Earth to Kaios Planet + 26 minutes
The lowest value that can be choosen for Distance Earth to Kaios Planet is by that 9 minutes.
So all possible timeframes are in the interval from 9 minutes to 61 minutes.
So if the rest of the assumption work the speed ranges from 1.2*10^23 m/s to 8.1*10^23 m/s.
So 0.12 Quadrillion to 0.81 quadrillion m/s on the long scale.