SOLUTION: Please help me solve this equation: The train leaves Toronto for Montreal at the same time as another train leaves Montreal for Toronto. The cities are 500km apart. The trains pa

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Question 903977: Please help me solve this equation: The train leaves Toronto for Montreal at the same time as another train leaves Montreal for Toronto. The cities are 500km apart. The trains pass each other 2 hours later. The train from Montreal is traveling 50km/h faster than the one from toronto. at what distance away from toronto do the trains pass each other.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can think of this as one train
standing still and the other one
moving at the sum of their speeds
Let +s+ = the speed of the slower train
in km/hr
-------------------------------------
+500+=+%28+s+%2B+s+%2B+50+%29%2A2+
+500+=+4s+%2B+100+
+4s+=+400+
+s+=+100+
+s+%2B+50+=+150+
-------------------
Toronto to Montreal train:
+d%5B1%5D+=+100%2A2+
+d%5B1%5D+=+200+
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Montreal to Toronto train:
+d%5B2%5D+=+150%2A2+
+d%5B2%5D+=+300+
---------------
The trains pass 200 mi from Toronto