Ship A is sailing towards north-east with velocity \(\vec v = 30\hat i + 50\hat j\) km/hr where \({\rm{\hat i\;points\;east\;and\;\hat j}}\) north. Ship B is at a distance of 80 km east and 150 km north of ship A and is sailing towards west at 10 km/hr. A will be at minimum distance from B in:

• A. 4.2 hrs
• B. 2.6 hrs
• C. 3.2 hrs
• D. 2.2 hrs