Gabriella drives her car 320 miles and averages a certain speed. If the average speed has been 6 miles less she could have traveled only 280 miles in the same length of time. What is her average speed?

Her average speed is 48 miles per hour.

Step-by-step explanation:

We solve this question using a system of equations.

The speed equation is:

In which s is the speed, d is the distance, and t is the time.

Gabriella drives her car 320 miles and averages a certain speed.

So

Then

If the average speed has been 6 miles less she could have traveled only 280 miles in the same length of time.

So, which s - 6, d = 280.

From the first equation:

Replacing:

Her average speed is 48 miles per hour.