Solving a word problem using a linear equation

Question

Jose will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of$59.98 and costs an additional $0.13 per mile driven. The second plan has an initial fee of $47.98 and costs an additional $0.15 per mile driven. How many miles would Jose need to drive for the two plans to cost the same

Answer 1

59.98 + .13m = 47.98 + .15m

.02 m = 11

m = 11/.02 = 550 miles make the costs equal