SOLUTION: The speed of an Amtrak passenger train is 12 mph faster than the speed of a Central Railway freight train. the passenger train travels 400 miles in the same time it takes the freig

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Question 917112: The speed of an Amtrak passenger train is 12 mph faster than the speed of a Central Railway freight train. the passenger train travels 400 miles in the same time it takes the freight train to travel 330 miles. Find the speed of each train.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The speed of an Amtrak passenger train is 12 mph faster than the speed of a Central Railway freight train. the passenger train travels 400 miles in the same time it takes the freight train to travel 330 miles. Find the speed of each train.
:
s = speed of the freight
then
(s+12) = speed of the pass train
:
Write a time equation; time = dist/speed
:
330%2Fs = 400%2F%28%28s%2B12%29%29
cross multiply
400s = 330(s+12)
400s = 330s + 3960
400s - 330s = 3960
s = 3960/70
s = 56.57 mph is the freight
then, obviously, 68.57 mph is pass train
:
:
Confirm this, find the time for each, should be equal
400/68.57 = 5.83 hrs
330/56.57 = 5.83 hrs