Question about senate barracks and harbor

mouceen

Hekatontarch
Can i ask someone or devs, how much does senate actually increase the building speed, and how much do barracks and harbor increase the recruitment speed? This would be helpful as I'm trying to figure out whether its faster for fresh city to rush academy 13 for research or senate 25.
I've tried to figure it out myself using calculations but i've got inconsistent values for the decrease in building time... thanks...