stepwilk, nicely said.
takata:
There was a hand-over in the last quence reported and possibly it was the Captain taking over the LHS from the junior FO which was PNF until then
{EDITED thanks to TLB's point that I have misinterpreted the reports. Thanks TLB.}
Might I re-phrase what you posted like this?
The BEA report indicates that the other pilot attempted to take control of an already stalled aircraft whose rate of descent was greater than 10,000 feet per minute. He had "X" seconds to get it under control before it hit the ocean.
It paints a slightly different picture than your post does.
Aside: I cannot offer you a good value for X, but from what is available so far my estimate is that the number less than sixty.