JEE Main 2019 Physics question on Kinematics

Ship $A$ is sailing towards north-east with velocity $v = 30\hat{i} + 50\hat{j}$ km/h, where $\hat{i}$ 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/h. $A$ will be at minimum distance from $B$ in