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A passenger train leaves the train depot 2 hours after a freight train leaves the same depot. The freight train is traveling 20 mph slower than the passenger train. Find the rate of each train, if the passenger overtakes the freight train in 3 hours.
 one year ago
 one year ago
A passenger train leaves the train depot 2 hours after a freight train leaves the same depot. The freight train is traveling 20 mph slower than the passenger train. Find the rate of each train, if the passenger overtakes the freight train in 3 hours.
 one year ago
 one year ago

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cathyangsBest ResponseYou've already chosen the best response.1
Ok so first of all, let's assign two variables, a and b, as the speeds (or rates) of each train. But we do know that the freight train a is 20 less than the passenger, b. so a=b20. We also know that a goes for 2 hours more than b. And the 2 extra hours plus the 3 hours is 5 hours that a was moving. so 5 hours x a mph is the distance they were from the depot when they crossed paths. And 3 hours x b mph is also that distance. We have a formula from before that we can use instead of a. so: 5 (b20) is equal to 3b 5(b20)=3b Do you get it? Solve for b, and tell me what you get! :)
 one year ago

fufu0331Best ResponseYou've already chosen the best response.0
5b 100 = 3b 2b=100 b=50
 one year ago

cathyangsBest ResponseYou've already chosen the best response.1
yes! :) and then you can plug that back into a=b20 to get...?
 one year ago

fufu0331Best ResponseYou've already chosen the best response.0
so 50 and 30 are the answers
 one year ago

cathyangsBest ResponseYou've already chosen the best response.1
Yes, though you'd probably want to say it as 30 and 50, since that's the order the trains were mentioned. Good work! :)
 one year ago
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