Jost comments on Harry Potter and the Methods of Rationality discussion thread, March 2015, chapter 114 + chapter 115 - Less Wrong Discussion
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In that case, the big explosion would happen about 2 hours before his past self gets the note, which would make the timeline inconsistent, since no such disturbance of the Quidditch match occurred while past!Harry was there.
Given that constraint, everything that happened since Harry time-turned five hours back must have taken at least five hours.