SOLUTION: Two trains leave the station at the same time, one heading west and the other east. The westbound train travels 10 miles per hour faster than the eastbound train. If the two trains

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Question 1109189: Two trains leave the station at the same time, one heading west and the other east. The westbound train travels 10 miles per hour faster than the eastbound train. If the two trains are 380 miles apart after 2 hours, what is the rate of the westbound train?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can think of this as one of
the trains standing still and the
other one travelling at the sum
of their speeds
Let s+%7D%7C%7D%7D+=+the+speed+of+the+eastbound+%0D%0Atrain+in+mi%2Fhr%0D%0A%7B%7B%7B+s+%2B+10+ = the speed of the westbound train
in mi/hr
------------------------------------------
+380+=+%28+s+%2B+s+%2B+10+%29%2A2+
+380+=+%28+2s+%2B+10+%29%2A2+
+380+=+4s+%2B+20+
+4s+=+360+
+s+=+90+
and
+s+%2B+10+=+100+
--------------------
The westbound train's speed is 100 mi/hr
----------------------------------------
check the answer:
+d%5B1%5D+=+90%2A2+
+d%5B1%5D+=+180+
and
+d%5B2%5D+=+100%2A2+
+d%5B2%5D+=+200+
---------------------
+d%5B1%5D%2B+d%5B2%5D+=+380+
+180+%2B+200+=+380+
+380+=+380+
OK