SOLUTION: Please help me solve this word problem.. Khang and Hector live 22.8 miles apart. They decide to bicycle towards each other and meet somewhere in between. Hector's rate of speed is

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Please help me solve this word problem.. Khang and Hector live 22.8 miles apart. They decide to bicycle towards each other and meet somewhere in between. Hector's rate of speed is      Log On


   

Question 716015: Please help me solve this word problem..
Khang and Hector live 22.8 miles apart. They decide to bicycle towards each other and meet somewhere in between. Hector's rate of speed is 90% of Khang's. They start out at the same time and meet 2 hours later. Find Hector's rate of speed.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can think of one of them standing still
and the other moving at the sum of their speeds
until they meet
Let +k+ = Khang's speed min mi/hr
+.9k+ = Hector's speed in mi/hr
+22.8+=+%28+k+%2B+.9k+%29%2A2+
+1.9k+=+22.8+%2F+2+
+k+=+11.4+%2F+1.9+
+k+=+6+ mi/hr
+.9k+=+.9%2A6+
+.9k+=+5.4+
Hector's speed is 5.4 km/hr
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check answer:
Khang's equation:
+d%5B1%5D+=+6%2A2+
+d%5B1%5D+=+12+ mi
Hector's equation:
+d%5B2%5D+=+5.4%2A2+
+d%5B2%5D+=+10.8+
and
+d%5B1%5D+%2B+d%5B2%5D+=+12+%2B+10.8+
+d%5B1%5D+%2B+d%5B2%5D+=+22.8+ mi
OK