Mr. Scott! We need more power!

Okay, so THIS is how long it would take to get to these objects if we could travel at (nearly) the Speed of Light.

Faster than that?

"Y'cannae change the laws of physics, Jim..."

But, suppose - just suppose, there was a way to "bend" (or warp?) space so these unimaginable distances could be covered in a tiny fraction of the time?

Rumors have been circulating for a long time that NASA is working on developing a faster-than-light warp-drive technology. We're still a long way off... BUT... what if speeds portrayed in Star Trek could actually be achieved?

These two gifs show the relative scaled top speeds of different ships in the ST universe, the top gif is for the slower of the ships so have a better idea of their speed since they move at a snails crawl compared to the more advanced ships in the show.  The distance in the bottom gif is from Earth to interstellar space (123 AU or 11.4 Billion miles).

According to this video, the top speeds are...
    Warp 1 - Speed of Light (c)- 186,000 mps
     U.S.S Enterprise (NX-01 )- Warp 5.2 (140c)
     U.S.S. Enterprise (NCC-1701) - Warp 8 (512c)
     U.S.S. Enterprise (NCC-1701-D)
        (under new warp scale), Warp 9.6 (1909c)
     U.S.S. Defiant - warp 9.5 (1841c)
     U.S.S. Voyager - warp 9.975 (4,354c)
     U.S.S. Enterprise (NCC-1701E) - warp 9.985 (5829c)