4. At 12 noon, \(\operatorname { ship } A\) is 20 km from ship \(B\), on a bearing of \(300 ^ { \circ }\). Ship \(A\) is moving at a constant speed of \(15 \mathrm {~km} \mathrm {~h} ^ { - 1 }\) on a bearing of \(070 ^ { \circ }\). Ship \(B\) moves in a straight line with constant speed \(V \mathrm {~km} \mathrm {~h} ^ { - 1 }\) and intercepts \(A\).
- Find, giving your answer to 3 significant figures, the minimum possible for \(V\).
It is now given that \(V = 13\).
- Explain why there are two possible times at which ship \(B\) can intercept ship \(A\).
- Find, giving your answer to the nearest minute, the earlier time at which ship \(B\) can intercept ship \(A\).
(8)