SOLUTION: Ariana is 130 miles away from Sophia. They are traveling towards each other. If Sophia travels 6 mph faster than Ariana and they meet after 5 hours, how fast was each traveling?

Ariana's distance traveled + Sofia distance traveled = 130 miles


5*r                        +  5*(r+6)                = 130


5r + 5r + 30 = 130

10r = 130 - 30 = 100  ====>  r =  = 10.


Answer.  Ariana' speed = 10 mph.   Sofia' speed = 10+6 = 16 mph.


Check.   5*10 + 5*16 = 50 + 80 = 130 miles.   ! Correct !