SOLUTION: how do you solve 2 trains going in the same direction at different speeds, how many hours will it be when they are 154 miles apart?

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Question 683085: how do you solve 2 trains going in the same direction at different speeds, how many hours will it be when they are 154 miles apart?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
It sounds like the faster train is in front and the slower train
keeps falling further and further behind.
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The trains are separating at a rate equal to the
difference between their velocities.
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Say you know how far apart they are at time +t+=+t%5B0%5D+
The difference in their velocities is +V%5B2%5D+-+V%5B1%5D+
Now look at their separation at t = +t%5B1%5D+
the equation is:
Separation distance = separation at +t%5Bo%5D+ + +%28++v%5B2%5D+-+v%5B1%5D+%29%2A+%28+t%5B1%5D+-+t%5B0%5D+%29+
You have to fill in the numbers