SOLUTION: Two jets leave an air base at the same time and travel in opposite directions. One jet travels 74 mi/h faster than the other. If the two jets are 12,224 mi apart after 8 hours, wha

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Two jets leave an air base at the same time and travel in opposite directions. One jet travels 74 mi/h faster than the other. If the two jets are 12,224 mi apart after 8 hours, wha      Log On


   

Question 1111959: Two jets leave an air base at the same time and travel in opposite directions. One jet travels 74 mi/h faster than the other. If the two jets are 12,224 mi apart after 8 hours, what is the rate of each jet?
Rate of faster jet:_____mi/h
Rate of slower jet: ____ mi/h
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = the speed of the slower jet in mi/hr
+s+%2B+74+ = the speed of the faster jet in mi/hr
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You can think of this as one of the jets travelling at
the sum of their speeds and the other standing still
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+12224+=+%28+s+%2B+s+%2B+74+%29%2A8+
+12224+=+16s+%2B+592+
+16s+=+11632+
+s+=+727+
and
+s+%2B+74+=+801+
--------------------
Faster jet: 801 mi/hr
Slower jet: 727 mi/hr
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check:
+d%5B1%5D+=+727%2A8+
+d%5B1%5D+=+5816+
and
+d%5B2%5D+=+801%2A8+
+d%5B2%5D+=+6408+
--------------------------
+d%5B1%5D+%2B+d%5B2%5D+=+5816+%2B+6408+
+d%5B1%5D+%2B+d%5B2%5D+=+12224+
OK