SOLUTION: Two trains leave Dallas at the same time. One train travels east and the other travels west. The speed of the westbound train is 5 mph greater than the speed of the eastbound train

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Question 1152422: Two trains leave Dallas at the same time. One train travels east and the other travels west. The speed of the westbound train is 5 mph greater than the speed of the eastbound train. After 6 hours, they are 510 miles apart. Find the rate of each train. Assume the trains travel in a straight line in opposite directions.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = the speed pf the eastbound train
+s+%2B+5+ = the speed of the westbound train
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You can add their speeds, and think of this as one train
traveling +510+ mi or +6+ hrs
+510+=+%28+s+%2B+s+%2B+5+%29%2A6+
+510+=+%28+2s+%2B+5+%29%2A6+
+510+=+12s+%2B+30+
+12s+=+480+
+s+=+40+
and
+s+%2B+5+=+45+
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40 mi/hr = the speed pf the eastbound train
45 mi/hr = the speed of the westbound train
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check:
(1) +d%5B1%5D+=+40%2A6+
(2) +d%5B2%5D+=+45%2A6+
+d%5B1%5D+%2B+d%5B2%5D+=+510+
+240+%2B+270+=+510+
OK
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