3. Two straight horizontal roads cross at right angles at the point \(X\). A girl is running, with constant speed \(5 \mathrm {~m} \mathrm {~s} ^ { - 1 }\), due north towards \(X\) on one road. A car is travelling, with constant speed \(20 \mathrm {~m} \mathrm {~s} ^ { - 1 }\), due west towards \(X\) on the other road.

1. Find the magnitude and direction of the velocity of the car relative to the girl, giving the direction as a bearing.
   (6) At noon the girl is 150 m south of \(X\) and the car is 800 m east of \(X\).
2. Find the shortest distance between the car and the girl during the subsequent motion.