<PRE><B>Question 124782</B>
Two cars started from the same point, and traveled on a straight course in opposite directions for exactly 2 hours, at which time they were 208 miles apart. If one car traveled, on average, 8 miles per hour faster than the other car, what was the average speed for each car for the 2-hour trip?
:
Let s = speed of the slower car
then
(s+8) = speed of the faster car
:
Write a distance equation; Distance = time * speed
:
2s + 2(s+8) = 208 mi
:
2s + 2s + 16 = 208
:
4s = 208 - 16
:
4s = 192
s = {{{192/4}}}
s = 48 mph av speed of the slower car
then
48 + 8 = 56 mph av speed of the faster car
:
Check solutions by finding the distance
2(48) + 2(56) =
 96 + 112 = 208</PRE>