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?

Given, A car and a truck were traveling in opposite directions. The car traveled 19 miles per hour faster than the truck.   If the average speed of the truck is x miles per hour The average speed of the car is (x + 19) miles per hour   Distance traveled by truck after 8 hours = 8x miles Distance traveled by car after 8 hours, y = 8(x + 19) miles   At the end of 8 hours they were 1448 miles apart. 8x + 8(x + 19) = 1448 8x + 8x + 152 = 1448 16x + 152 = 1448   Subtract 152 from both sides of the equation 16x + 152 – 152 = 1448 – 152 16x = 1296 x = 81 miles per hour (Average speed of the truck)   Average speed of the car = x + 19 = 81 + 19 = 100 miles per hour     Conclusively: The average speed of the truck is 81 miles per hour The average speed of the car is 100 miles per hour