SOLUTION: Two trains are 351 miles apart, and their speeds differ by 21 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 755969: Two trains are 351 miles apart, and their speeds differ by 21 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!
You can think of one train as standing still and the
other one approaching at the sum of their speeds.
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Let the speed of the slower train = +s+ mi/hr
The speed of the faster train = +s+%2B+21+ mi/hr
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+351+=+%28+s+%2B+s+%2B+21+%29%2A3+
+2s+%2B+21+=+117+
+2s+=+96+
+s+=+48+
+s+%2B+21+=+69+
The speeds are 69 mi/hr and 48 mi/hr
check:
The faster train:
+d%5B1%5D+=+69%2A3+
The slower train:
+d%5B2%5D+=+48%2A3+
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+d%5B1%5D+=+207+ mi
and
+d%5B2%5D+=+144+ mi
+207+%2B+144+=+351+
OK