Pikes Peak is just a few short miles west of Colorado Springs, and only about an hour's drive south of Denver.
From Colorado Springs Airport (COS):
Exit the Airport on Milton Proby Parkway/Drennan Road. After approximately 4 miles, turn left on SE Academy Blvd/CO-83. In approximately 1.8 miles, merge onto I-25 North and continue for approximately 5.7 miles. Take Exit #141 for US-24/West Cimarron St. and continue West on US 24 for about 9.5 miles. See Google Map overview.
From Denver International Airport (DEN):
Exit the airport on Pena Blvd. Take E-470 South (toll road) for about 34 miles. Then exit onto I-25 Southbound to Colorado Springs. In approximately 55 miles, take Exit #141 for US-24/West Cimarron St. Continue West on US 24 for about 9.5 miles. See Google Map overview.