SOLUTION: two trains going in opposite directions leave at the same time train b travels 15 mph faster than train a. in 3 hours the trains are 375 miles apart how fast is each train going

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Question 886322: two trains going in opposite directions leave at the same time train b travels 15 mph faster than train a. in 3 hours the trains are 375 miles apart how fast is each train going
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Think of this as 1 train standing still and
the other one traveling at the sum of their speeds
Let +s+ = the speed of the slower train
+s+%2B+15+ = the speed of the faster train
--------------------------------------
+375+=+%28+s+%2B+s+%2B+15+%29%2A3+
+375+=+%28+2s+%2B+15+%29%2A3+
+6s+=+375+-+45+
+6s+=+330+
+s+=+55+
+s+%2B+15+=+70+
The trains are going 55 mi/hr and 70 mi/hr
check answer:
+d%5B1%5D+=+55%2A3+
+d%5B1%5D+=+165+
and
+d%5B2%5D+=+70%2A3+
+d%5B2%5D+=+210+
-----------------
+d%5B1%5D+%2B+d%5B2%5D+=+165+%2B+210+
+d%5B1%5D+%2B+d%5B2%5D+=+375+ mi
OK