With both MTA and TRC, the competitor is trying to get their disc to “ride” the wind and extend its time in the air. MTA is a timed event. The timer starts when the disc leaves the thrower’s hand and stops as soon as the thrower catches. In TRC, it is not time, but distance that is measured. The thrower must release within a designated throwing circle. The distance from the edge of that circle to the point of contact is measured. In both events, a legal catch is one that is made cleanly with only one hand.
In competition, there are usually 4-5 people throwing together in a group. One person from the group is called and they have 15 seconds to initiate their throw. When complete, someone else will throw. Everyone will get 5 opportunities for each MTA and TRC. The best time and the longest distance will be combined for your SCF score.
The old school disc of choice for this event is a Fastback. Fastbacks are light and work well when there is less wind. Power players, however, typically choose to throw light weight condors or Lynxes. The wider rimmed discs penetrate better, but it is harder to get them to ride the wind.
To get a better idea of what this event looks like, here is some footage from the 1988 WFDF event showing a TRC world record throw. This record stood until 2003.