Well, a TT bike is fairly specialist piece of kit, and the return on your investment in terms of speed will not be linear. The main issue is that the position is different to a road bike, and as such your power delivery is compromised. The extent to which that is the case varies from individual to individual, and depends on a number of factors, such as time spent in new position, suitability of position to athlete, aero gains vs. power loss trade off etc.
But in even in a best case scenario hoping for 30 minutes over 82 miles is over-optimistic.