3. Two ships \(P\) and \(Q\) are moving with constant velocity. At 3 p.m., \(P\) is 20 km due north of \(Q\) and is moving at \(16 \mathrm {~km} \mathrm {~h} ^ { - 1 }\) due west. To an observer on ship \(P\), ship \(Q\) appears to be moving on a bearing of \(030 ^ { \circ }\) at \(10 \mathrm {~km} \mathrm {~h} ^ { - 1 }\). Find

1. 1. the speed of \(Q\),
   2. the direction in which \(Q\) is moving, giving your answer as a bearing to the nearest degree,
2. the shortest distance between the ships,
3. the time at which the two ships are closest together.
   (3)