I found this fun (Spanish) exam about Special Relativity at a Spanish website:
3) t=13.6 months = 13 months and 18 days.
1) We use the relativistic addition of velocities rule. That is,
where u=Millenium Falcon velocity, v=imperial cruiser velocity= c/5, y V=relative speed=4c/5.
Using units with c=1:
Then, reinserting units.
2) This part is solved with the length contraction formula and the velocity calculated in the previous part (1). Moreover, we obtain:
Using the result we got from (1), and plugging that velocity v and the fact that is equal to one hour, then es
, and from this
Substituting the numerical values, we obtain the given solution easily.
3) Simple application of time dilation formula provides:
Inserting, in this case, our given velocity, we obtain the solution we wrote above:
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