SOLUTION: Two trucks left Vancouver, one going east on the Trans Canada Highway and the other west. The truck going east drove 8 km/h faster since it was partly downhill. At the end of 5h, t

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Two trucks left Vancouver, one going east on the Trans Canada Highway and the other west. The truck going east drove 8 km/h faster since it was partly downhill. At the end of 5h, t      Log On


   

Question 561196: Two trucks left Vancouver, one going east on the Trans Canada Highway and the other west. The truck going east drove 8 km/h faster since it was partly downhill. At the end of 5h, they discover over their CB radios that they are 460 km apart. How fast is each truck traveling?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Think of 1 truck as standing still and the other
traveling at the sum of their speeds
Let +s+ = speed in km/hr of truck going west
+s+%2B+8+ = speed in km/hr of truck going east
---------------
+460+=+%28+s+%2B+s+%2B+8+%29%2A5+
+460+=+%28+2s+%2B+8+%29%2A5+
+460+=+10s+%2B+40+
+10s+=+420+
+s+=+42+
+s+%2B+8+=+50+
The truck going west travels at 42 km/hr
The truck going east travels at 50 km/hr
check answer:
east bound truck:
+d%5B1%5D+=+50%2A5+
+d%5B1%5D+=+250+
west bound truck:
+d%5B2%5D+=+42%2A5+
+d%5B2%5D+=+210+
+d%5B1%5D+%2B+d%5B2%5D+=+250+%2B+210+
+d%5B1%5D+%2B+d%5B2%5D+=+460+
OK