At time $t = 0$, a goods train is moving through a station at a constant speed of $10\,\text{m s}^{-1}$. An express train is stationary at the station. The instant the goods train passes, the express train sets off from the station with a uniform acceleration of $0.5\,\text{m s}^{-2}$. The two trains travel in the same direction on straight, parallel tracks. For what value of $t$ does the express train catch up with the goods train?
- A$6\,\text{s}$
- B$10\,\text{s}$
- C$20\,\text{s}$
- D$40\,\text{s}$