Interstate 70 is the speedway that gets you across Utah. To dip southeast toward Moab, veer off the interstate onto U.S. 191, a main artery running all the way south to the Arizona border, skirting Arches' western border, Moab, and the Monti-La Sal National Forest along the way. Alternatively, you can take Route 128, Colorado River Scenic Byway, traveling just east of Arches. On either road services can be far apart.
The nearest airport is Grand County Airport, also know as Canyonlands Field (435/259-7419), 18 mi north of Moab. Flights are very limited. The nearest train "station" is a solitary Amtrak stop in Green River, about 60 mi northwest of Moab. For train inquiries, call Amtrak (800/872-7245).
Branching off the main, 18-mi park road are two spurs, a 2½-mi one to The Windows section and a 1 3/5-mi one to the Delicate Arch trailhead and viewpoint. There are several four-wheel-drive roads in the park; always check at the visitor center for conditions before attempting to drive them. U.S. 191 tends to back up mid-morning to early afternoon. There's likely to be less traffic at 8 AM or sunset.