Under ‘normal driving conditions’, an electric car can cover $150\,\text{km}$ using the full $200\,\text{MJ}$ of energy held in its batteries. If the batteries begin fully charged, the car then travels $100\,\text{km}$ in ‘normal driving conditions’. The batteries are afterwards recharged from a household electrical supply that supplies a constant current of $13.0\,\text{A}$ at a potential difference of $230\,\text{V}$. Determine the minimum time needed to recharge the batteries?
- A$0.95\,\text{hours}$
- B$12.4\,\text{hours}$
- C$18.6\,\text{hours}$
- D$27.9\,\text{hours}$