Question

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 1048 miles apart. What was the average speed of each vehicle?

Answer 1

Answer:

Step-by-step explanation:

At the end of 8 hours, the car and truck were 1048 miles apart. So they were traveling 1048/8 = 131 miles per hour apart.

The car traveled 19 miles per hour faster than the truck. So car speed = truck speed + 19

Substituting, truck speed + truck speed + 19 = 131

2x truck speed = 112

Truck speed = 56 miles per hour

Car speed = 56 + 19 = 75 miles per hour

Answer 2

Truck speed be x
car travel at x+19
they travel in opposite directions
so the separation is (x+x+19) * no. of hours
1048 = (2x+19)*8
x = ((1048/8) - 19)/2
=56

truck speed is 56 miles per hour
car speed is 56+19 = 75 miles per hour