leoelephant, thx for trying to clarify!
I think your equations do work though, considering it uses all percentages. So with your numbers:
a=time, b=French buff, c=TB buff; the 2m TB buff converted to percentage of time is 20%
10m * (1-20%) * (1-20%) = 6.4m (calculating TB first yields same result, as you say)
Both of your equations also work with the current percentage buff system, for both French (a=150s, b=20%, c=66%) and other nations (a=150s, b=0%, c=66%).
But, also my calculations yield the same result whether inserting French or TB percentages (hypothetical or actual values) first. Both of our equations result in a reduction of 20% training time switching to French. Maybe I missed something else because I thought you were saying our equations should have yielded different results, but I think they achieved the same purpose. I think, perhaps, the crux of your theory was that if the TB were to be a set time reduction (not percentage reduction) then the values would not work- but different army compositions can have different rebuild times, so a straight reduction in minutes couldn't work; for example, if I'm only rebuilding 3 foot troops across my 3 barracks you can't take 2m off of 35s.
acied, I am a player that, in a very calculated way, keeps medals at a certain level, which does not encounter no opponents. And I agree with you, that dumping an hour long TB is a waste. I may not be experiencing the same frustrations- but in terms of the flexibility in my time, I much preferred the old TB 30m, 1diamond 3cider. If I could do more I did, if I couldn't I wouldn't. Unfortunately, I think
Ravenlord is probably right about all the talk about this! :S