Hello, blueridge!

Did you make a sketch?

Two cars are approaching an intersection.

One is 2 miles south of the intersection and is moving north at 30 mph.

The other car is 3 miles east of and is moving west at 40 mph.

Express the distance between the cars as a function of time .Code:X 3-40t B 40t Q * - - - - - * - - - - - * | / | / 2-30t | / d | / | / A * | 30t | | P *

The first car starts at , 2 miles south of

In hours, it has moved miles north to point

. . Hence: .

The second car starts at , 3 mile east of

In hours, it has moved miles west to point

. . Hence: .

From right triangle , we have: .

So we have: .

. . which simplifies to: .