Algebra-2

Let's assume Rachel's speed is  miles per hour. Then Tom's speed is  miles per hour.

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

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

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

We are given that the time taken by Tom and Rachel is the same. So we can set up the following equation:

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