Problema Solution
Rick and Mike are roommates and leave Gainesville on Interstate 75 at the same time to visit their girlfriends for a long weekend. Rick travels north and Mike travels south. If Mike's average speed is 6 mph faster than Rick's, find the speed of each if they are 171 miles apart in 1 hour and 30 minutes.
Answer provided by our tutors
Rick speed = x
Mike speed = x+6
1.5(2x+6) = 171
3x + 9 = 171
3x = 162
x = 54 mph
mike = 54+6 = 60 mph