The actual time may vary according to the traffic and weather. The approximate driving time between these two places is 5 hours.
The driving distance from Billings Montana to Missoula Montana is 343 miles via I-90 West per MapQuest. The driving time per MapQuest is 4 hours and 41 minutes.
about 340 miles
mapquest/googlemaps
360 miles
Some major cities of Montana are Billings Bozeman Butte Great Falls Helena Kalispell Missoula
Yes, it is very safe to drive from Redmond, OR to Mt. Rushmore. Stopping in Missoula and Billings will be just fine.
I believe that would be Livingston or Bozeman
short route is I-90 east which is 343 miles long route is MT-200/US-87 which is 433
The driving distance from Phoenix AZ to Missoula MT is 1,181 road miles - about 19 hours driving time.
The state of Montana
345 miles taking I-90 WEST.
It is 345 miles according to Google Maps.