SOLUTION: Aaron and Logan both leave the restaurant at the same time, but in opposite directions. If Logan travels 8 mph faster than Aaron and after 6 hours they are 144 miles apart, how fas

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Question 1099864: Aaron and Logan both leave the restaurant at the same time, but in opposite directions. If Logan travels 8 mph faster than Aaron and after 6 hours they are 144 miles apart, how fast is each traveling?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Their speed will add. You can think of this as
one of them standing still and the other one
moving at the sum of their speeds
Let +s+ = Aaron's speed in mi/hr
+s+%2B+8+ = Logan's speed in mi/hr
------------------------------------------
+144+=+%28+s+%2B+s+%2B+8+%29%2A6+
+144+=+%28+2s+%2B+8+%29%2A6+
+144+=+12s+%2B+48+
+12s+=+96+
+s+=+8+
and
+s+%2B+8+=+16+
Aaron is traveling at 8 mi/hr
Logan is traveling at 16 mi/hr
-------------------------------
check answer:
+d%5B1%5D+=+8%2A6+
+d%5B1%5D+=+48+ mi
and
+d%5B2%5D+=+16%2A6+
+d%5B2%5D+=+96+ mi
-------------------
+d%5B1%5D+%2B+d%5B2%5D+=+48+%2B+96+
+d%5B1%5D+%2B+d%5B2%5D+=+144+
OK