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

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
RELATED QUESTIONS
3A train leaves Perryville at 6:00 AM and travels east at a rate of 64 mph, as it reaches (answered by kusha)

A train leaves Perryville at 6:00 AM and travels east at a rate of 64 mph. As it reaches... (answered by mananth)

At 8:00 A.M., a train leaves a station and travels at a rate of 48 mph. At 9:00 A.M., a... (answered by srinivas.g)

At 8:00 A>M> a train leaves a station and travels at a rate of 46 mph. At 9:00 A.M. a... (answered by lwsshak3)

At 8:00 A.M., a train leaves a station and travels at a rate of 45 mph. At 9:00 A.M., a... (answered by mananth)

At 8:00 A.M., a train leaves a station and travels at a rate of 46 mph. At 9:00 A.M., a... (answered by josgarithmetic)

At 8:00 am a train leaves a station and travels at a rate of 43mph. At 9:00 am a second... (answered by solver91311)

At 5:00 am a train leave a station and travels at a rate of 35 mph. At 7:00 am a second... (answered by drk)

1. At 5:00 a.m., a train leaves a station and travels at a rate of 35 mph. At 7:00 a.m., (answered by josmiceli)