SOLUTION: Jacksonville and Tampa are 210 miles apart, George leaves Tampa at the same time that Joshua leaves Jacksonville. They drive towards each other and meet in 2 hours. What was each p

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Question 760889: Jacksonville and Tampa are 210 miles apart, George leaves Tampa at the same time that Joshua leaves Jacksonville. They drive towards each other and meet in 2 hours. What was each person's speed if George travels 5 mph faster than Joshua?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Think of one driver as standing still and
the other one moving at the sum of their speeds
-----------------
Let +s+ = Joshua's speed in mi/hr
+s+%2B+5+ = George's speed in mi/hr
--------------------------------
+210+=+%28+s+%2B+s+%2B+5+%29%2A2+
+210+=+%28+2s+%2B+5+%29%2A2+
+210+=+4s+%2B+10+
+4s+=+200+
+s+=+50+
+s+%2B+5+=+55+
Joshua's speed is 50 mi/hr
George's speed is 55 mi/hr
check:
Joshua's equation:
+d%5B1%5D+=+50%2A2+
+d%5B1%5D+=+100+ mi
George's equation:
+d%5B2%5D+=+55%2A2+
+d%5B2%5D+=+110+
+d%5B1%5D+%2B+d%5B2%5D+=+100+%2B+110+
+d%5B1%5D+%2B+d%5B2%5D+=210+
OK