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The speed of a passenger train is 8 mph faster than the speed of a freight train.
The passenger train travels 270 miles in the same time it takes the freight to travel 230 miles.
Find the speed of each train.
Let s = speed of the freight train
(s+8) = speed of the pass train
Write a time equation, Time = dist/speed
Pass time = Freight time
270s = 230(s+8)
270s = 230s + 1840
270s - 230s = 1840
40s = 1840
s = 46 mph is the freight
46 + 8 = 54 mph is the pass
Confirm the solution, find the times, they should be equal
270/54 = 5 hrs
230/46 = 5 hrs also