Question 255247
Let the speed of Juana   =x
Let the speed of Roberto =y
The distance between them is 30miles.
If they leave at the same time and ride in the same direction, Roberto overtakes Juanna in 6 hrs
        6y-6x = 30
        6(y-x)= 30
          y-x = 30/6
          y-x = 5  ...(1)
If they ride toward each other, they meet in 1 hr.
         1*x+1*y = 30
          x+y = 30   ...(2)
(1)+(2)=>  2y = 35
            y = 35/2
            y = 17.5 miles/hr
Substituting in (1), we get
          17.5-x = 5
          17.5-5 = x
            12.5 = x
               x = 12.5 miles/hr