<PRE><B>Question 783128</B>
A train leaves Perryville at 6:00 A.M. and travels east at a rate of 64 mph. As it reaches its station in Granite City, a westbound train departs from the station for Perryville, traveling at a rate of 48 mph. How far is it from Perryville to Granite City by train if the westbound train gets to Perryville at 9:30 A.M.?

6:30 to 9:30 = 3.5hours

Total time taken by both trains = 3.5 hours

Let distance between the cities be x

Time taken by train I + time taken by train II = 3.5 hours
t=d/r

x/64 +x/48 = 3.5

(48x+64x)/64*48 =3.5

112x = 3.5*48*64

x= (3.5*48*64)/112

x=96 miles</PRE>