if a pool only gets a block every 6th block its average solution must take 60 minutes to find.. is REDICULOUS
You're digging yourself deeper in the hole. Of course, that is EXACTLY the reason why he only has a block every hour, and hence, about 1/6 of the total amount of blocks.
he only gets a block every one sixth, because there is other competitors that beat him by seconds. and only the fastest guy wins..
as soon as the winner is found the clock resets.. blocks are found in 10 minute average. they do not continue hashing the same data for hours..
they reset and start again on fresh data as soon as a winner is found
As I said, and tried (in vain, apparently) to explain, you're totally wrong about how mining happens. You think it is a cumulative calculation effort (even if you say you know it isn't, you think it takes very close to 10 minutes for every miner each time, whether that miner has 1% of the hash rate, or 40% of the hash rate, it always takes, up to a few seconds, 10 minutes). Can't help you any more. This invalidates much of what you think about many things in bitcoin.
you argue it takes hours, and you knitpick my simplifying of "a few seconds" difference (facepalm)
the few seconds difference is in regards to your scenarios of all pools having equal hash..
you mention 10 pools of 10% hash.. so times would be similar...
yes if you add in other variables and change your scenario the times become more than just a few seconds.. but still not going to be hours like you suggest.
seriously go run some tests.. get some dice.. get you and some friends to run a few lengths of a field
make an alt and buy a few usb asics and run some proper tests
make an bitcoin testnet and buy a few usb asics and run some proper tests