If you actually do the math, they would get there in 570 years with a speed of 12 lightyears/day (average known speed of vessels in the ME universe).Even if an Ark was constructed 3 years prior, they need some major explaining to do. You woudn't be getting to Andromeda in 300 years. Reapers are known to have the fastest FTL drives (twice the speed of the fastest Citadel/Alliance ships), and they can travel 30 light years in 24 hours. That's roughly 10-11 thousand light years in 365 days.... with constant travel. So about 5000 light years in a Citadel ship.... if they can manage constant travel...which they couldn't.
Andromeda is 2.5 million light years away.
At 30 lightyears/day, a Reaper could reach Andromeda in 228 years. So he was right about the general ballpark. It'd take centuries, NOT millennia, which is nothing on a cosmic time scale.
However, the problem comes in that Reapers dont have to discharge their drive cores - conventional FTL engines do. With a lack of close by stars in intergalactic space, the ark ships would fry on the inside long before reaching Andromeda.
That's the only difficulty with the journey in lore. Otherwise cryo + known FTL speeds easily account for the journey.





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