SOLUTION: Two trains are 339 miles apart, and their speeds differ by 25 mph. Find the speed of each train if they are traveling toward each other and will meet in 3 hours

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Question 820740: Two trains are 339 miles apart, and their speeds differ by 25 mph. Find the speed of each train if they are traveling toward each other and will meet in 3 hours
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Think of one train as standing still and the other
approaching at the sum of their speeds
Let +s+ = the speed of the slower train in mi/hr
+s+%2B+25+ = the speed of the faster train in mi/hr
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+339+=+%28+s+%2B+s+%2B+25+%29%2A3+
+339+=+%28+2s+%2B+25+%29%2A3+
+339+=+6s+%2B+75+
+6s+=+264+
+s+=+44+
+s+%2B+25+=+69+
The speed of the slower train is 44 mi/hr
The speed of the faster train is 69 mi/hr
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check:
Equation for slower train:
+d%5B1%5D+=+44%2A3+
+d%5B1%5D+=+132+ mi
Equation for faster train:
+d%5B2%5D+=+69%2A3+
+d%5B2%5D+=+207+ mi
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+d%5B1%5D+%2B+d%5B2%5D+=+132+%2B+207+
+d%5B1%5D+%2B+d%5B2%5D+=+339+ mi
OK