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.
If you're an experienced hiker, you could shave several hours off the average time easily (the record is 1:19 up & set by Dean Potter). With a larger group, the desire for more breaks, less experience with significant elevation gain or trail conditions, it could take you several hours longer.