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 Mik

Algebra ->  Customizable Word Problem Solvers  -> Travel -> 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 Mik      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 988612: 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 207 miles apart in 1 hour and 30 minutes.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of their speeds is:
207mi/1.5hr=138 mph
.
M=Mike's speed; R=rick's speed=M-6mph
.
M+R=138 mph
M+M-6mph=138 mph
2M=144 mph
M=72 mph
ANSWER 1: Mike's speed was 72 mph.
.
R=M-6mph=72mph-6mph=66mph
ANSWER 2: Rick's speed was 66 mph.
.
CHECK:
.
1.5(M)+1.5(R)=207 mi
1.5hr(72mph)+1.5hr(66mph)=207mi
108mi+99mi=207mi
207mi=207mi