Solve the rational equation 8/x+1/5=3/x

We are going to solve the rational equation 

Step 1. Simplify the denominator of the left hand side of the equation:




Step 2. Multiply both sides of the equation by  and :




Step 3. Subtract  from both sides of the equation:



Step 4. Divide both sides of the equation by 25:



We can conclude that the solution of the rational equation is

J= r + 9 because since jessica rode 9 more miles than roger, you add 9 miles to rogers mileage.