SOLUTION: Jose left the White House and drove toward the recycling plant at an average speed of 40 km/h. Rob left some time later driving in the same direction at an average speed of 48 km/h

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Question 512129: Jose left the White House and drove toward the recycling plant at an average speed of 40 km/h. Rob left some time later driving in the same direction at an average speed of 48 km/h. After driving for five hours Rob caught up with Jose. How long did Jose drive before Rob caught up?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d%5B1%5D+ = Jose's head start in km
Let +t%5B1%5D+ = time between Jose's leaving and Rob's leaving
After Rob leaves, Jose travels +40%2A5+=+200+ km
During the same time, Rob travels +48%2A5+=+240+ km
+d%5B1%5D+=+240+-+200+
+d%5B1%5D+=+40+ km
Jose drove for +t%5B1%5D+=+40%2F40+, or 1 hour until Rob left
In all, Jose drove for +1+%2B+5+=+6+ hours
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check answer:
Rob's equation:
+d+=+48%2A5+
+d+=+240+
Jose's equation:
+d+=+40%2A6+
+d+=+240+
OK