SOLUTION: if a train left the station heading north at 50 mph and a train left a station heading south at 30mph at what point would they intersect and how many miles further would train A be

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Question 620733: if a train left the station heading north at 50 mph and a train left a station heading south at 30mph at what point would they intersect and how many miles further would train A be rather than B
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Say they are +d+ miles apart
Let the time for them to meet = t
They approach each other at the sum of their speeds
+d+=+%28+50+%2B+30+%29%2At+
+t+=+d%2F80+
For the 50 mi/hr train:
It's distance is +50%2A%28d%2F80+%29+
For the 30 mi/hr train:
It's distance is +30%2A%28+d%2F80+%29+
+50%2A%28+d%2F80+%29+%2B+30%2A%28+d%2F80+%29+=+d+
+%285%2F8%29%2Ad+%2B+%283%2F8%29%2Ad+=+d+
+5%2F8%2Ad+-+3%2F8%2Ad+=+1%2F4%2Ad+
The 50 mi/hr train goes 1/4 of the distance between them further