SOLUTION: A train leaves a station and travels north at a speed of 75 mph.Two hours​ later, a second train leaves on a parallel track and travels north at 105 mph. How far from the sta

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Question 1087169: A train leaves a station and travels north at a speed of 75 mph.Two hours​ later, a second train leaves on a parallel track and travels north at 105 mph. How far from the station will they​ meet?
Answer by ikleyn(52832) About Me  (Show Source):
You can put this solution on YOUR website!
.
D%2F75 = D%2F105 + 2,    (the "time" equation, where D is the distance)


105*D = 75*D + 2*75*105,


30*D = 2*75*105,


D = %282%2A75%2A105%29%2F30 = %28150%2A105%29%2F30 = 5*105 = 525 miles.


Answer.  The faster train will catch the slower train in 525 miles from the station.