Algebra-2

Let's assume the speed of Bob is  miles per hour. Then the speed of Alice is  miles per hour.

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

For Bob, the distance  miles and his speed is  miles per hour. So the time taken by Bob  hours.

For Alice, the distance  miles and her speed is  miles per hour. So the time taken by Alice  hours.

We are also given that it takes Alice 1 hour longer to complete her route than Bob, 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:

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