SOLUTION: Two planes, which are 3225 miles apart, fly toward each other. Their speeds differ by 95 mph. If they pass each other in 5 hours, what is the speed of each?

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Question 959926: Two planes, which are 3225 miles apart, fly toward each other. Their speeds differ by 95 mph. If they pass each other in 5 hours, what is the speed of each?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Think of this as one plane standing still and
the other traveling at the sum of their speeds
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Let +s+ = the speed of the slower plane in mi/hr
+s+%2B+95+ = the speed of the faster plane in mi/hr
-------------------------
+3225+=+%28+s+%2B+s+%2B+95+%29%2A5+
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+3225+=+5%2A2s+%2B+475+
+10s+=+2750+
+s+=+275+
and
+s+%2B+95+=+370+
--------------------
The speed of the slower plane is 275 mi/hr
The speed of the faster plane is 370 mi/hr
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check:
+d%5B1%5D+=+275%2A5+
+d%5B1%5D+=+1375+ mi
and
+d%5B2%5D+=+370%2A5+
+d%5B2%5D+=+1850+
-------------------
+d%5B1%5D+%2B+d%5B2%5D+=+1375+%2B+1850+
+d%5B1%5D+%2B+d%5B2%5D+=+3225+
OK