SOLUTION: Two planes, which are 1790 mile apart, fly towards each other. Their speed differs by 45 mph. If they pass each other in 2 hours, what are their speeds?

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Question 534040: Two planes, which are 1790 mile apart, fly towards each other. Their speed differs by 45 mph. If they pass each other in 2 hours, what are their speeds?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
They approach each other at the sum
of their speeds.
I'll call the slower plane's speed +s+ mi/hr
The faster plane's speed is +s+%2B+45+ mi/hr
They pass each other in 2 hrs, so the sum
of their speeds is +1790+%2F+2+=+895+ mi/hr
---------------
+s+%2B+s+%2B+45+=+895+
+2s+=+895+-+45+
+2s+=+850+
+s+=+425+
+s+%2B+45+=+470+
Their speeds are 425 mi/hr and 470 mi/hr
Check answer:
Slower plane:
+d+=+425%2A2+
+d+=+850+ mi
Faster plane:
+d+=+470%2A2+
+d+=+940+ mi
+850+%2B+940+=+1790+
Correct