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But ya it can take hours to non FTL between systems.
Just keep in mine that the warp drive uses a lot of power, so have spare energy dense fuel and warpers. Also your max war distance is based on your energy core (how big the battery) + your energy regen (energy circuit level + fuel type).
Plus there is a logistics engine upgrade that you need for logistics ships to be allowed to use warpers.
So at 1000 m/s you'd cover 4 LY in 2 hours and 40 minutes.
4 LY * (2400 km/LY) * (1000 km/m) / (1000 m/s) = 9,600s
If you'd upgraded your sail to 2000 m/s then it'd be half that time, 1 hour and 20 minutes.
The initial warp speed is, IIRC, 12 AU/s (or 480,000 m/s). That'd cover that same 4 LY distance in 20 seconds.
4 LY * (2400 km/LY) * (1000 km/m) / (480000 m/s) = 20s
Trick I did for that one was get the 2000 M/S sail upgrade, then point at the closest system get to max speed, set a timer based on the ETA and then go play something else. With some periodic checks to confirm that I was still on a decent course.
Note - it is possible do to this achievement after you research and make warpers; just as long as you haven't completed the research on Drive Engine lvl 4.
(So you can grab some warpers, head off under sail, eventually get the achievement, finish researching Drive Engine 4 and then warp back to continue your game)
Or, if you don't care about what might have gotten made during those couple hours just make a save before you leave and load it after the achievement unlocks.
Either way you save yourself the couple hours of flying back at non-warp speed.
But, I also got this one the same way teron did. Got up to speed, set a timer, and went and did something else while waiting.