Algebra-2

Let's assume Eli's speed is  miles per hour. Then Sophie's speed is  miles per hour.

We know that time , where  is the distance and  is the speed.

For Eli, who travels a distance  miles at a speed of  miles per hour, the time taken  hours.

For Sophie, who travels a distance  miles at a speed of  miles per hour, the time taken  hours.

We are given that it takes Sophie  hours longer than Eli to complete her route. So we can set up the following equation:

To get a common denominator, we multiply the first fraction by  and the second fraction by :

Expand the numerator: