From entrance to Road Harbor to entrance to NS is a little over 15 NM. So if you motor probably a little over 3 hrs.
Sailing is a different story. Check out and provisioning always gets us off the dock a little late.
And it seems every time we leave RH on our first day out we get 15+ knots out of NE. Couple of hours beating up into the wind on day one and you start testing everyone's sea legs.
That's when we jump off at Marina Cay and start lime'n.