**URGETNT ** Two cars start moving from the same point. One travels south at 40 mi/h and the other travels west at 30 mi/h. At what rate is the distance between the cars increasing three hours later?

Question

**URGETNT ** Two cars start moving from the same point. One travels south at 40 mi/h and the other travels west at 30 mi/h. At what rate is the distance between the cars increasing three hours later?

Answer 1

The directions are irrelevant...the point is that the cars are moving along routs which are perpendicular.

Let x(t)=30t and y(t)=40t

Then the distance between them at any point is 50t.

At ANY time the distance is increasing at 50 mph.