SOLUTION: two aircraft start from the same point at the same time flying in opposite directions. The faster aircraft travels twice as fast as the other one. After 5 hours of travel they are

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Question 763584: two aircraft start from the same point at the same time flying in opposite directions. The faster aircraft travels twice as fast as the other one. After 5 hours of travel they are 1500 miles apart. find the average speed of each aircraft
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can think of this as one aircraft standing still
and the other moving away from it at the sum
of their speeds
Let +s+ = the speed of the slower one
+2s+ = the speed of the faster one
----------------------------------
+1500+=+%28+s+%2B+2s+%29%2A5+
+1500+=+15s+
+s+=+100+
+2s+=+200+
Their speeds are 100 mi/hr and 200 mi/hr
check:
+d%5B1%5D+=+s%2A5+
+d%5B1%5D+=+100%2A5+
+d%5B1%5D+=+500+
and
+d%5B2%5D+=+2s%2A5+
+d%5B2%5D+=+1000+
and
+d%5B1%5D+%2B+d%5B2%5D+=+1500+
OK