A rocket is moving at constant speed along the line$-$of$-$sight of the Earth$-$Mars system toward Earth. The rocket is moving at a speed of $0\mathrm{.}6$c$.$ Two events are observed by this rocket, event A takes place on Earth while event B occurs on Mars. These events take place at times t$$A $=180$ minutes and t$$B $=200$ minutes after lift off from Mars. The distance between Mars and the Earth is $12\mathrm{.}5$ light$-$minutes during this period.

Determine the time interval between these events as measured in the Mars rest frame $($the distance between Mars and the rocket can be assumed to be small compared with the distance between the rocket and Earth$).$ What is the Galilean limit of this value?