Algebra-2

Let's assume Sarah's speed is  miles per hour. Then John's speed is  miles per hour.

We use the formula , where  is the time,  is the distance, and  is the speed.

For Sarah, who is traveling the -mile route at a speed of  miles per hour, the time taken  is given by  hours.

For John, who is traveling the same -mile route but at a speed of  miles per hour, the time taken  is given by  hours.

We know that it takes Sarah  hours more than John to finish the race. So we can set up the following equation:

First, we'll get rid of the denominators by multiplying through by :

Click "Show Answer" to reveal the answer and analysis