The same subjects in two bouts of time to exhaustion test at 100% vVO2max, if the RER change over the time and the second bouts the time to exhaustion is increased and RER over the time is decrease, may be to due to lower energy cost?
Using RER to calculate energetic cost during high intensity activity (near VO2max) will generate RER values greater than 1, this would then mean that the energetic cost is underestimated using this technique.
However, if i follow your logic correctly - you are seeing an increase in time to exhaustion and a reduced RER. Then yes this increase in time to exhaustion may be as a result of a decrease in energetic cost. However, there are a number of factors that could influence this so it may not be quite that simple.
Dear Fernando! Please, be more accurate in your questions! One can, in principle, interpret your "RER" as a public transportation mean! For example: one can go from almost any airport near Paris to the center of the Paris by the RER... Therefore: what is YOUR "RER"??