SOLUTION: The speed of a passenger train is 12 mph faster than the speed of a freight train. The passenger train travels 310 miles in the same time it takes the freight train to travel 250 m

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Question 395031: The speed of a passenger train is 12 mph faster than the speed of a freight train. The passenger train travels 310 miles in the same time it takes the freight train to travel 250 miles. Find the speed of each train.
What is the speed of the passenger train
What is the speed of the freight train
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Time is the same for both examples.
For freight train:
d+=+r%2At
(1) 250+=+r%5Bf%5D%2At
For passenger train:
(2) 310+=+%28r%5Bf%5D+%2B+12%29%2At
There are 2 equation and 2 unknowns, so it's solvable
(2)
(2) 60+=+12t
t+=+5 hrs
-----------
From (1):
(1) 250+=+r%5Bf%5D%2At
r%5Bf%5D+=+250%2F5
r%5Bf%5D+=+50 mi/hr
and,
r%5Bf%5D+%2B+12+=+62
The speed of the passenger train is 62 mi/hr
The speed of the freight train is 50 mi/hr
check:
(2) 310+=+r%5Bf%5D%2At+%2B+12t%7D%7D%0D%0A%7B%7B%7B310+=+50%2A5+%2B+12%2A5
310+=+250+%2B+60
310+=+310
OK