NASA is launching a rocket into space from Earth. This particular rocket burns its fuel for 5$5$ minutes and then turns off its engines. At this point, the rocket keeps floating along through space at a speed of 10$10$ km/$/$s.$.$ The Moon is approximately 3.8.10^{5$3\mathrm{.}8\mathrm{.}105$} km from Earth. 

At its final speed, how long will it take the rocket to reach the Moon?