Two cars leave an intersection at the same time. One drives east while the other travels south at 15 miles per hour faster than the other. After 3 hours, the cars are 225 miles apart. How fast is the southbound car driving?

60 mph

Step-by-step explanation:

Let 'S' be the velocity of the southbound car and 'E' be the velocity of the eastbound car. The distances traveled by each car are:

The distance between both cars is given by:

Solving the quadratic equation for the velocity of the eastbound car:

The velocity of the southbound car is:

The southbound car is driving at 60 mph.

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