A common recommendation for increasing distance is to add about 10% to your distance each week. This basically doubles your distance every 8 weeks. On this basis, you would be running 12-14 km by 24th January. Increasing faster than this risks injury, which would actually set your training back.
I agree with the consensus on this thread - progressing to a marathon over that timeframe is not a wise idea.
But it may make sense to set yourself a goal of doing 10K by the end of December, and then being able to do a half marathon by the end of February. This would then put you in striking distance of being able to prepare for a marathon in May/June.
The reasonable man adapts himself to the world; the unreasonable one persists in trying to adapt the world to himself. Therefore all progress depends on the unreasonable man.
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