Question 839454: A freight train leaves the train station 2 hours before a passenger train. the two trains are traveling in the same direction on parallel tracks. if the rate of the passenger train is 40 mph faster than the freight rain, how fast is each train traveling if the passenger train passes the freight train in 2.5 hours
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! freight train leaves the train station 2 hours before a passenger train.
the two trains are traveling in the same direction on parallel tracks.
if the rate of the passenger train is 40 mph faster than the freight rain, how fast is each train traveling if the passenger train passes the freight train in 2.5 hours?
:
Let s = the freight train speed
then
(s+40) = Pass train speed
:
When the pass train overtakes the freight, they will have traveled the same dist.
Write a dist equation; dist = time * speed
We know the freight travel time is 2 + 2.5 = 4.5 hrs
4.5s = 2.5(s+40)
4.5s = 2.5s + 100
4.5s - 2.5s = 100
2s = 100
s = 5 mph is the freight
and
50+40 = 90 mph is the pass train
:
:
Confirm this by finding the actual dist each traveled, should be equal.
2.5(90) = 225 mi
4.5(50) = 225
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