Posted by **Samantha** on Sunday, November 11, 2012 at 7:55pm.

It takes a passenger train 2 hours less time than it takes a freight train to make the trip from Central City to Clear Creek. The passenger train averages 96mi/hr while the freight train averages 64mi/hr. How far is it from Central City to Clear Creek?

- algebra -
**Mary**, Sunday, November 11, 2012 at 8:25pm
The basic formula is rate x time = distance. Since the freight train and the passenger train are traveling the same distance, the rate x time for each train equals the other. Let t = the time for the freight train. Then t-2 would equal the time for the passenger train, since it took two hours less time to make the trip. Now you have two equations:

passenger train:

r x t = d, 96 x (t-2) = d

freight train:

r x t = d, 64 x t = d

They both equal d, so they equal each other: 96 x (t-2) = 64 x t

Now solve for t and plug in your equation to find d, the distance.

Note: don't forget to distribute the negative sign on 96(t-2).

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