Question

Ralph and Liza are both driving from Los Angeles to Santa Fe. Ralph leaves at 7:00 and averages 60 mph (miles per hour) on the way. Liza leaves at 7:25 and averages 65 mph on the way. The situation is modeled by this system, where x is the number of hours after Liza leaves and y is the distance each will travel: y= 60x + 25 y = 65x How long after Liza leaves will she pass Ralph, and how far will they each have traveled?

Answer 1

The given equations are

`y=60x+25`
`y=65x`

Where x is the number of hours, and y is the distance each will travel.

We can graph these functions to find the answers.

As you can observe in the graph above, the common point is (5,325). This means after 5 hours and 325 miles, they will find each other.