Question 998213
Let cyclist speed be x mph
car  speed = (x+38.5) mph

both of them take the same time to meet = 8.5 hours

Distance = 442 miles

Combined speed = 2x+38.5

t= d/r

8.5 = 442/(2x+38.5)

8.5(2x+38.5) =442

17x + 327.5 = 442

17x= 442-327.5

17x = 114.5

x=6.75 mph...cycle speed

add 38.5 to get car speed