A sample of pure \(\text{N}_2\text{O}_4\text{(g)}\) is placed into a rigid, evacuated container maintained at a constant temperature. The reversible reaction represented below occurs:

\[\text{N}_2\text{O}_4\text{(g)} \rightleftharpoons 2\,\text{NO}_2\text{(g)}\]

The rates of the forward and reverse reactions are monitored over time and plotted in the graph. Which of the following correctly identifies the time at which dynamic equilibrium is first established in the container, along with the valid justification?