SOLUTION: Two cars, which are 704 miles apart and whose speeds differ by 8 mph, are moving toward each other. If they meet in 8 hours, find the speed of each car.

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Question 946853: Two cars, which are 704 miles apart and whose speeds differ by 8 mph, are moving toward each other. If they meet in 8 hours, find the speed of each car.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can think of this as one car moving
at the sum of their speeds and the other
car standing still
Let +s+ = the speed of the slower car in mi/hr
+s+%2B+8+ = the speed of the faster car in mi/hr
------------------
+704+=+%28+s+%2B+s+%2B+8+%29%2A8+
+704+=+%28+2s+%2B+8+%29%2A8+
+704+=+16s+%2B+64+
+640+=+16s+
+s+=+40+
+s+%2B+8+=+48+
------------------
The speed of the slower car is 40 mi/hr
The speed of the faster car is 48 mi/hr
check:
+d%5B1%5D+=+40%2A8+
+d%5B1%5D+=+320+
and
+d%5B2%5D+=+48%2A8+
+d%5B2%5D+=+384+
and
+d%5B1%5D+%2B+d%5B2%5D+=+320+%2B+384+
+d%5B1%5D+%2B+d%5B2%5D+=+704+
OK