Remaining Distance to be covered \(=6-\frac{1}{2}\times6=3\) km
Remaining time \(=45-\frac{2}{3}\times45=15\) minutes (or) \(\frac{1}{4}\) hour
Required speed to cover the remaining distance in the remaining time,
\(=(\frac{\frac{3}{1}}{4})=12\)km/h
Hence, option A is the correct answer.The correct option is (A): 12 km/h