A person is making a journey on a motorway covering a total of $200\,\text{km}$. The first $90\,\text{km}$ is completed at an average speed of $80\,\text{km h}^{-1}$. What average speed is needed for the remaining distance if the person is to arrive at the destination in a total time of $2$ hours $00$ minutes?
- A$110\,\text{km h}^{-1}$
- B$120\,\text{km h}^{-1}$
- C$122\,\text{km h}^{-1}$
- D$126\,\text{km h}^{-1}$