Vector Application: Relative velocity of drones

Observe the three drones in the animation below. Each drone is  [b][i]heading[/i] [color=#0000ff]S[/color][/b][color=#0000ff][b]outh[/b][/color] with a speed of [b]6 m/sec[/b]. Each drone flies amidst a wind which blows at [b]3 m/sec[/b]. [br][u][b]Case a:[/b][/u] The drone encounters [color=#ff0000][b]a tailwind (from behind)[/b][/color]. The combined effect of the tailwind and the drone speed provide a resultant velocity of [b]9 m/sec.[/b] [br][b][u]Case b: [/u][/b]The drone encounters [b][color=#ff0000]a headwind (from the front)[/color][/b]. The combined effect of the headwind and the drone speed provide a resultant velocity of [b]3 m/sec[/b].[br][b][u]Case c:[/u][/b], the drone encounters a [color=#ff0000][b]crosswind [/b][/color](the [b]wind is blowing Nort-East, a=45°[/b]). The combined effect of the wind and the drone speed provide a resultant velocity of [b]7.7[/b][b]3 m/sec [/b](directed at [i] [b]S 20.7° W[/b][/i]). [br]These three resultant velocities can be determined using simple rules of vector addition. [br][color=#0000ff][i]How long will the fly take if the destination is 16.45 m South of the starting point?[/i][/color]

Information: Vector Application: Relative velocity of drones