An electric car can travel $150\,\text{km}$ in ‘normal driving conditions’. In doing so, it consumes all of the $200\,\text{MJ}$ stored in its batteries. The batteries are first fully charged, and then the car is driven for $100\,\text{km}$ in ‘normal driving conditions’. After that, the batteries are recharged using a household electrical supply that provides a constant current of $13.0\,\text{A}$ at a potential difference (p.d.) of $230\,\text{V}$. What is the minimum time required to recharge the batteries?
- A$0.95\,\text{hours}$
- B$12.4\,\text{hours}$
- C$18.6\,\text{hours}$
- D$27.9\,\text{hours}$