Be aware that you'll be paying back your law school loans for years after graduation. Do you best not to overburden yourself with student loans--it could cause you considerable stress or even limit your career options. Look into location. Law school is tough enough without being isolated from family or living in a city that doesn't suit you.
What is Average? Hikers will vary in their conditioning, weight of gear, natural fitness, comfort range, and several other factors that influence hiking speed. With all these considered, most hikers will average about 2-3 miles per hour (3.2-4.8 km/h). Besides personal differences, different trails will have a huge impact on your hiking speed. Some trails are at a higher elevation, which decreases the amount of oxygen replenishing your muscles.
Allow 1 hour for every 3 miles (5 km) forward, plus 1 hour for every 2000 feet (600 metres) of ascent. A lot of hikers in the UK use this as a guide of course bear in mind terrain and altitude! and of course this is not appropriate at higher altitudes.