SOLUTION: a passenger train leaves a train depot three hours after a freight train leaves the same depot. the freight train is traveling 8 mph slower than the passenger train. find the rate
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Question 319172: a passenger train leaves a train depot three hours after a freight train leaves the same depot. the freight train is traveling 8 mph slower than the passenger train. find the rate of the passenger train if the passenger train overtakes the freight train after 12.75 h Answer by nyc_function(2741) (Show Source):
You can put this solution on YOUR website! You know that at the moment they meet, they've traveled the same distance, so you'll set the distances equal to each other for each train. Remember that rate(time) = distance.
Let x = rate of passenger train
Passenger train: x(12.75)
Freight train: (x-6)(15.75)
12.75x = 15.75x - 94.5; x = 31.5 mph