Maybe you can get lucky and out invest financial institutions. But it will be almost certainly be both lucky and unlikely.
The typical way debtors win is via inflation which allows old expensive dollars to be paid down with inflated dollars. Since US monetary policy has kept inflation low (actually just wage inflation) for decades, don't bet on this happening either.
During adulthood ten years turns out not to be that long after all.
I recommend setting up a Mint.com account and taking a look at your monthly expenses. You might be surprised at how much you're spending on, say, restaurants or fast food per month.
In general, I would also recommend reading http://mrmoneymustache.com/ for good ideas on ways to lower your expenses. Here's the uber-post containing the most basic (and most effective) ideas: http://www.mrmoneymustache.com/2013/02/22/getting-rich-from-...
Any savings can be paid right toward the loan as additional principal. (Note that your loan may have a prepayment penalty; you'll want to check before you begin sending in more than the expected payment.)
Edit: According to https://commonbond.co/blog/the-truth-behind-student-loan-pre... , no federal student loans have prepayment penalties, and it is illegal for private student loans to charge them as well as of 2008.