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 8 mph faster than Rick's, find the speed of each if they are 162 miles apart in 1 hour and 30 minutes.
Answer provided by our tutors
Rick's speed x mph
Mike's speed = x+ 8 mph
..
They are moving away from each other
So add up their speed.
combined speed = x+ 1 x + 8
( 2 x + 8 )
Time = 1.5 hours
Distance = 162 miles
Distance = speed * time
( 2 x 8 )* 1.5 = 162
3.00 x + 12 = 162
3 x = 213 + -12
3 x = 201
/ 3
x= 67 mph
Rick's speed = 67 mph
Mike's speed = 67 + 8 = 75 mph