The US is about 3000 miles across. Staying on the roads and travelling light it should be possible to do 100 miles/day. There are plenty of minor issues that can either add or subtract from the schedule, but one month should be possible with some commitment. Within two months should be easily doable. Cutting it well below 1 month would require some serious determination.
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Depends on a lot of things. A fit rider can do 20 MPH for several hours under reasonably easy riding conditions, so assuming he can ride 10 hours/day it'd be done in 11 days.
This would be rather uncomfortable and quite demanding, so if you're planning a ride I'd suggest aiming for abt 3 weeks instead. That'd be just over 100 miles/day, which is fairly doable and may even allow for a rest day or two.
Depends on a lot of things. A fit rider can do 20 MPH for several hours under reasonably easy riding conditions, so with a few pit stops you'd might be able to pull it off in 18-20 hours continuous riding.
This would be rather uncomfortable and quite demanding, so if you're planning a ride I'd suggest splitting it into 3 parts/days, doing about 120 miles/day.
That would be reasonably doable assuming you're travelling light.
If you need to carry camping gear, use poorer roads or just want an easier time, make it a 4 day journey.
Distance is about 2500 miles. if you ride 50 miles/day you'd need 50 days to do it. 100 miles/day you need 25 days.