SOLUTION: 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, t
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> SOLUTION: 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, t
Log On
Question 783128: 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.? Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! 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
