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 10 mph faster than Rick's, find the speed of each if they are 195 miles apart in 1 hour and 30 minutes.
Answer provided by our tutors
if Rick's speed = x
Mike's speed = x+10
so, relatice speed = 2x+10
Now, 1.5(2x+10) = 195
or 3x+15 = 195
so, x = 60 mph
Ricks speed = 60 mph
Mikes speed = 70 mph