43+ minutes Sol to Jupiter at c. Safe to assume there'll be other game factors.

Kris

Happy to see I wasn't the only one to jump on this, If Earth and Jupiter were in perfect alignment to Jupiter and there was no asteroids or other general space debris to avoid it would take around 34 1/2 minutes to travel from Earth to Jupiter at light speed.  

With this being said Jupiter was at it's closest point to us in a long time at around 416,000,000 miles (669,487,104 km) this past April ( https://www.usatoday.com/story/tech/sciencefair/2017/04/06/jupiter-closest-visit-earth-astronomy/100128644/ ).  This would mean it would have taken about 48 minutes, 33 seconds for one to travel to Jupiter from Earth traveling at light speed.  As a comparison in Science Fiction terms, in the Star Trek universe, travelling at Warp 9 (TNG rating) it would have taken one 3.06 seconds to travel to Jupiter from Earth ( http://www.st-minutiae.com/resources/warp/index.html ).

Enjoy

The size of the Milky Way Galaxy is about 1,000,000,000,000,000,000 km across ( https://imagine.gsfc.nasa.gov/features/cosmic/milkyway_info.html ) meaning traveling at the speed of light it would take 105,700 years, Traveling at Warp 9 (TNG rating) 145 years, or at Warp 10 (TNG rating or 1000 times the speed of light, Voyager rating is different) it would take one 105.7 years to travel from one end of our Galaxy assuming you started at one and travel to the other side with no effects of the center Black Hole.  

Sorry but, I find these types of discussions great

This actually brings up something about Star Trek people don't usually think about.  All the bouncing around back and forth between borders they do... Klingon, Romulan, Tholian, Gorn, etc, is much too far for them to have done in their lifetimes.  Even just the trip to the center of the galaxy and back in ST:V would take longer than the crew would live.

Which leads to what Enterprise actually is.  What is seen in the story doesn't match the famous opening lines at all.  By the story that is actually told Enterprise is not a ship of galactic exploration, it is a border patrol warship that explores the borders areas of the Federation as a secondary mission as it patrols them.  There is never a time when it leaves Federation space on a mission of galactic exploration, it is always patrolling the border of an adversary.  It is always the most powerful warship the Federation has in the area, and always drops whatever it is doing to respond to any crises in its area.  The opening lines give the impression that it is a peaceful galactic exploration ship, but there is never a time when it actually performs that mission.  It's actually a military border patrol, that does science and exploration within its patrol area as a secondary mission.

...and the stars look down.

Not really new, but this video got me interested in space things during my school time: https://www.youtube.com/watch?v=0fKBhvDjuy0