The average time is infinity.
The reason for this is that for any rating (except the very lowest) there is a percentage of players who would never reach it. The idea that every player can become a strong player given effort is similar to the idea that everyone can become a good football player. Many people just aren't equipped for it.
Of course, I assume "average" meant "mean average", which is the usual semantic convention. If the median average is used, my above statement only applies to ratings significantly above the average rating (rather than ratings significantly above the lowest ratings, as for the mean).

Wait, wait. A genius is IQ 150? Wow, American standards are low.
lol, so obnoxious.
In Scotland we have to start at 180 IQ so the constant drinking doesnt take us too far below 100.