SOLUTION: A passenger train leaves a depot 1.5 h after a freight train leaves the same depot. The passenger train is traveling 18 mph faster than the freight train. Find the rate of each tra
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Question 1051417: A passenger train leaves a depot 1.5 h after a freight train leaves the same depot. The passenger train is traveling 18 mph faster than the freight train. Find the rate of each train if the passenger train overtakes the freight train in 2.5 h. Answer by jorel555(1290) (Show Source):
You can put this solution on YOUR website! Let n represent the rate of the freight train. If the passenger train overtakes the freight train in 2.5 hours, then the freight train has been traveling for 1.5+2.5, or 4 hours. So:
4n=2.5(n+18)
4n=2.5n+45
1.5n=45
n=30
The freight train is going 30 mph; the passenger train goes 48 mph. ☺☺☺☺
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