SOLUTION: Two trains were scheduled between lancaster and Philadelphia. One train averaged 45 mph and the other made more stops and averaged only 35 mph. The second train took .4 of an hour

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Question 1069502: Two trains were scheduled between lancaster and Philadelphia. One train averaged 45 mph and the other made more stops and averaged only 35 mph. The second train took .4 of an hour longer to make the run. How far is it between the stations?
Found 2 solutions by Fombitz, MathTherapy:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Train 1 :45%2At=D
Train 2 : 35%28t%2B0.4%29=D
So,
45t=35%28t%2B0.4%29%7D%7D%0D%0A%7B%7B%7B45t=35t%2B14
10t=14
t=1.4
So,
D=45%2A1.4
D=63miles

Answer by MathTherapy(10553) About Me  (Show Source):
You can put this solution on YOUR website!

Two trains were scheduled between lancaster and Philadelphia. One train averaged 45 mph and the other made more stops and averaged only 35 mph. The second train took .4 of an hour longer to make the run. How far is it between the stations? 
Let distance between the 2 stations be D

We then get the following TIME equation: D%2F35+-+D%2F45+=+.4

9D – 7D = .4(315) ------- Multiplying by LCD, 315

2D = 126

D, or distance between stations = highlight_green%28matrix%281%2C4%2C+126%2F2%2C+or%2C+63%2C+miles%29%29