At some point during the battle between Qui-Gon and Darth Maul, then enter a corridor. Obi-Wan follows them, but is separated from them by some kind of laser gates.

Qui-Gon and Darth Maul reach partway through the corridor while they are dueling, only travelling at a speed of someone walking. When the gates open, Obi-Wan rushes to join the battle, as fast as he can. But even then he can't reach Qui-Gon and Darth Maul before the gates close again.
Why wasn't a running Obi-Wan able to cover a greater distance than what Qui-Gon and Darth Maul managed to cover whilst fighting?
Answer
The assumption you make is that the gates are open for the same amount of time on each cycle. The scene goes like this.
- Maul and Qui-gon make it to the gates as Obi-wan starts running.
- All the gates open simultaneously, Maul makes it to the final gate, Qui-gon to the penultimate gate and are thus separated. Obi-wan makes it to the first gate, as they all close out of sync.
- The laser gates now open sequentially. First the gate behind Maul, then the one separating Maul and Qui-gon. They both get at duelling in the final chamber.
- Obi-wan waits for the first gate to open. Maul and Qui-gon are still going at it.
- The gates continue to open sequentially. The first gate opens, and Obi-wan runs to the end, slowed down by the gates opening. He is closed off by the final gate shutting before he can help Qui-gon. This open-close cycle is much shorter than for Qui-gon.
- Maul Kills off Qui-gon. The gates still aren't open.
- The gates open, duelling occurs.
So as you see, the gates are not one a simple open-close cycle, the time and order that the gates open changes and requires some time to move through a full cycle. This is why Obi-wan never made it in time, he is held back by the sequential opening of the gates.
Ironically, I could believe the presence of two living creatures would change the environment in the inner chamber. If the gates were for security of environmental control, that might make the gates close faster/sequentially.
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