Solve the below given problem:
The speed of sound in air is about \(331\ m/s\) at \(0^{\circ }C\) and nearly \(344\ m/s\) at \(22^{\circ }C\). Roughly how much extra time will the sound of thunder take to travel a distance of \(1711\ m\), if the air temperature changes from \(22^{\circ }C\) to \(0^{\circ }C\)? Assume that all other conditions remain unchanged.
The time taken for the thunder to travel the given distance \(=\) \(s\)
[Note: Enter the answer in three decimal values]