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
