Depends upon where you are travelling from
About six hours
Carlisle is on the edge of the Lake District so no time at all.
6 hours drive from Nottingham
About 4 hours, or perhaps 5 if you have to drive from S.E. London.
The shortest time is 2 hours and 36 minutes.
You don't say whereabouts in the Lake District - BUT - as an example... Shrewsbury to Kendal is a distance of 127 miles, and would take roughly 2 hours, 40 minutes to drive - according to Google Earth.
90 days
3 to 3 and 1/2 hours
3 days
A flight from Salt Lake City, Utah --> Orlando, Florida would take about 4 hours.
It takes 16 hours and 55 minutes to travel from Chicago, Illinois to Lake Charles, Louisiana if you travel via I-57 South and I-55 South.
2 days