SOLUTION: the average speed of an express train is 8 miles per hour slower than twice the speed of the local train. both trains leave the same station traveling in opposite directions at the

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Question 1020502: the average speed of an express train is 8 miles per hour slower than twice the speed of the local train. both trains leave the same station traveling in opposite directions at the same time. after 2 hours of travel, the trains are 224 miles apart. Find the speed of each train.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = the speed of the local train
+2s+-+8+ = the speed of the express train
----------------------
You can think of this as one of the trains moving
at the sum of their speeds and the other one
standing still
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d = r*t }}}
+224+=+%28+s+%2B+2s+-+8+%29%2A2+
+224+=+%28+3s+-+8+%29%2A2+
+224+=+6s+-+16+
+6s+=+240+
+s+=+40+
and
+2s+-+8+=+2%2A40+-+8+
+2s+-+8+=+80+-+8+
+2s+-+8+=+72+
The speed of the local train is 40 mi/hr
The speed of the express train is 72 mi/hr
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check answers:
+d%5B1%5D+=+40t+
+d%5B1%5D+=+40%2A2+
+d%5B1%5D+=+80+ mi
and
+d%5B2%5D+=+%282s+-+8+%29%2At+
+d%5B2%5D+=+%28+2s+-+8+%29%2A2+
+d%5B2%5D+=+72%2A2+
+d%5B2%5D+=144+
and
+d%5B1%5D+%2B+d%5B2%5D+=+80+%2B+144+
+d%5B1%5D+%2B+d%5B2%5D+=+224+
OK