Hi

Two trains leave a station at the same time. 

One travels east at 50mph and the other travels west at 55mph 

In how many hours will the two trains be 315 miles apart?

Let x and (315-x) represent the distance the 55mph and 50mph travel respectively



D = r*t OR t = D/r  (time for each train the same

    |cross multiplying to solve for x 

 50x = 55(315-x)

 105x = 55*315

    x = 55*315/105 = 165mi, distance travel by 55mph train

  t = 165/55 = 3hr, number of hours it will take for trains to be 315 mi apart



CHECKING our Answer***

 3*55 + 3*50 = 165mi + 150mi = 315mi 

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