SOLUTION: A car and a truck left Washington, DC traveling in opposite directions. The car traveled 19 miles per hour faster than the truck, and at the end of 8 hours they were 1448 miles apa

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A car and a truck left Washington, DC traveling in opposite directions. The car traveled 19 miles per hour faster than the truck, and at the end of 8 hours they were 1448 miles apa      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1035314: A car and a truck left Washington, DC traveling in opposite directions. The car traveled 19 miles per hour faster than the truck, and at the end of 8 hours they were 1448 miles apart. What was the average speed of each vehicle?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = the speed of the truck in mi/hr
+s+%2B+19+ = the speed of the car in mi/hr
------------------------------
You can think of this as one of the vehicles
covering 1448 mi at the sum of their speeds
and the other vehicle standing still
-----------------------------
+1448+=+%28+s+%2B+s+%2B+19+%29%2A8+
+1448+=+2s%2A8+%2B+19%2A8+
+1448+=+16s+%2B+152+
+16s+=+1296+
+s+=+81+
and
+s+%2B+19+=+100+
----------------
The car's speed is 100 mi/hr
The truck's speed is 82 mi/hr
------------------------
check:
+d%5B1%5D+=+81%2A8+
+d%5B1%5D+=+648+ mi
and
+d%5B2%5D+=+100%2A8+
+d%5B2%5D+=+800+ mi
-----------------
+d%5B1%5D+%2B+d%5B2%5D+=+648+%2B+800+
+d%5B1%5D+%2B+d%5B2%5D+=+1448+ mi
OK