In the position below white has just captured my a-Pawn leaving himself with a won game. Komodo 8 says he's about a Pawn ahead and when I ran multiple Shootouts with several different engines, with the exception of a draw here and there, white won all the games in somewhere between 60-80 moves. With a time limit of 10 moves in 40 days, it could be a long game. But then messing around, I discovered something.
The only way to get the R into play.
Clearly, the queening of the P is the only way to go.
White takes time to capture the P here because he wants to deny black the even the small consolation of having a protected, passed P.
White plays this logical move designed to eventully queen the P; his advantage according to Komodo 8 is about 2.25 Ps...easily winning even if it takes a while (60-80 moves). This is where I made a startling discovery.
White's advantage is now over 3 Pawns, but I ran a whole bunch of Shootouts using the Houdini engine and even though white won the majority of the games, they averaged in length from 130-190 moves with most games being towards the 190 number!
At 10 moves in 40 days I don't really know how long the game could last, but it could be long time and maybe the guy will get tired of playing and offer me a draw