And if you notice, that time is the length of the hypotenuse "X" in the Trapezoid picture I posted with those givens written at the bottom.

That picture was how I solved the problem by hand. Mantra used a Brute Force program and confirmed this. If anyone can tell me why I used that picture and how I got to that point (How I got those particular values for the given information and what not), I swear I will send them $5 via paypal.