Hello. This is not a concrete problem, rather conceptual question. 1. The problem statement, all variables and given/known data 2. Relevant equations 3. The attempt at a solution Spaceship with speed v with respect to the earth is travelling from the earth to say some distant star, which is distant L apart from the earth looking by observer who is in the earth frame. Analysis from both observers point of view: Earth observer: observes that spaceship travels the distance in time T1 = L/v. In addition to that, he observes that clock in the spaceship during the travel advances by T0=T1/ ɣ, i.e. less than his clock. Spaceship observer: by relativity he sees that the earth observer's clock is ticking slower than his clock, however, by above argument total travel time in his frame is smaller than in the earth frame. Additional facts are that he observes length, L, contracted and time reading difference between clock in the earth and clock, for example, in the star. Problem for me: Could someone summarise / make me clear / point out flaws in the reasoning why total travel time is still smaller as observed by spaceship observer than by the earth observer if spaceship observer during all the time then earth gets farther from him sees the earth observer's clock running slower?