
Arturo O. answered 11/24/17
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v = speed of cyclist
u = speed of car = v + 33.8
t = same travel time for both = 8.5 hr
d = initial separation distance = 578 mi
They meet when
vt = d - ut
v(8.5) = 578 - (v + 33.8)(8.5)
8.5v = 578 - 8.5v - 287.3
17v = 290.7
v = 290.7/17 mph = 17.1 mph
u = v + 33.8 = 50.9 mph