A train, which begins from rest at a station, accelerates uniformly at $0.20\,\text{m s}^{-2}$ until its speed reaches $20\,\text{m s}^{-1}$. It then continues for a period at constant speed and afterwards decelerates uniformly at $0.40\,\text{m s}^{-2}$ until it is brought to rest at the next station. The separation between the two stations is $3000\,\text{m}$. What is the time taken by the train to travel between the two stations?
- A$75\,\text{s}$
- B$150\,\text{s}$
- C$230\,\text{s}$
- D$300\,\text{s}$