SOLUTION: Two cars 656 miles apart and traveling toward each other along the same road. They meet in 4 hours. One car is traveling 6 mph than the other. What is the speed of each car?

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Question 1078581: Two cars 656 miles apart and traveling toward each other along the same road. They meet in 4 hours. One car is traveling 6 mph than the other. What is the speed of each car?
Found 2 solutions by Boreal, josmiceli:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
two cars together drive 656 miles in 4 hours or 164 mph combined speed
one car travels x mph
the other is traveling x+6 mph
x+x+6=164
2x+6=164
2x=158
x=79 mph
x+6=85 mph
in 4 hours, one car travels 316 miles and the other 340 miles. That is 656 miles.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can think of this as one of the cars standing
still and the other one traveling at the sum of their speeds
Let +s+ = the speed of the slower car
+s+%2B+6+ = the speed of the faster car
----------------------------------------
+656+=+%28+s+%2B+s+%2B+6+%29%2A4+
+656+=+%28+2s+%2B+6+%29%2A4+
+656+=+8s+%2B+24+
+8s+=+632+
+s+=+79+
and
+s+%2B+6+=+85+
The speeds of the 2 cars are:
79 mi/hr and 85 mi/hr
------------------------------
check:
+d%5B1%5D+=+79%2A4+
+d%5B1%5D+=+316+ mi
and
+d%5B2%5D+=+85%2A4+
+d%5B2%5D+=+340+ mi
and
+d%5B1%5D+%2B+d%5B2%5D+=+316+%2B+340+
+d%5B1%5D+%2B+d%5B2%5D+=+656+ mi
OK