Megan runs 2 miles each day, 5 days a week. She wants to run a marathon, so she asked her...

Megan runs 2 miles each day, 5 days a week. She wants to run a marathon, so she asked her coach some advice. The coach told Megan that she needs to work herself up to a training rountine of 40 miles each week and that she should be running that much for atleast 6 weeks prior to the marathon. In addition, the coach told Megan that she should not increase her mileage by more than 10 percent every two weeks. If Megan follows her coach's advice, in how many weeks can she enter her first marathon?