SOLUTION: A train leaves a station traveling north at 105 mph. Two hours later a second train leaves on a parallel track traveling north at 135 mph. How far from the station will they meet?

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Question 342326: A train leaves a station traveling north at 105 mph. Two hours later a second train leaves on a parallel track traveling north at 135 mph. How far from the station will they meet?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
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.
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In the 2 hours, the first train has already traveled 210 miles.
The distance from the station is then,
D%5B1%5D=R%5B1%5D%2At%2B210
1.D%5B1%5D=105t%2B210
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.
2.D%5B2%5D=135t
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Solve for D=D%5B1%5D=D%5B2%5D
From eq. 2,
t=D%2F135
Substitute into eq. 1,
D=105%28D%2F135%29%2B210
135D=105D%2B28350
30D=28350
highlight%28D=945%29 miles