Step 1) Setup a Loki (or Rhino Prime w/ Vanguard Arcane helm) w/ whatever you have that can affect speed. This includes primarily Rush, Maglev, and Sprint Boost. Step 2) Hit the Start button of the obstacle course.
Full Answer
The Obstacle Course allows you to train your navigational and movement skills. All Warframe abilities are disabled during this time. The Obstacle Course contains a variety of obstacles that test multiple skills while trying to achieve the fastest time possible.
A Gauss is the fastest sprinting Warframe currently with 1.4 base movement speed. You can check each Warframe's stats here to see how you fare. Aim Gliding slows down the timer as well and is effective at getting good times.
Disabled Warframe Passives when entering Dojo Obstacle Courses and disabled the several seconds of invulnerability when starting the course. We spoke to Dojo Designers in the community and got their feedback on obstacle courses. These changes come from their point that both of the above give players an unfair advantage.
The biggest tip is to make sure you move fast naturally. A Gauss is the fastest sprinting Warframe currently with 1.4 base movement speed. You can check each Warframe's stats here to see how you fare.
Obstacle Course. The Obstacle Course allows you to train your navigational and movement skills. All Warframe abilities are disabled during this time. The Obstacle Course contains a variety of obstacles that test multiple skills while trying to achieve the fastest time possible. You must jump, slide, dodge pillars, wall-run, wall-jump, ...
Upon falling off, you will be spawned at the beginning of the previous section's checkpoint you have reached. They are usually at the very end of one obstacle, or the start of a new platform. The locations of the checkpoints are as follows (All respawns are at the start of the platform number unless otherwise stated):
A strip of 4 are lined across the floor horizontally and 2-3 will rise at random. There are 4 sets of 4 platforms to make a pseudo-mini maze. After the last set, there is a "rest area" with nothing, followed by another set of 4 by 4 pillars.
After mastering the Speed Combo you can use it to essentially skip parts of the course as the video shows. However, be aware of the "Reset Zones", which will send the player back to the last checkpoint to avoid skipping the entire course.
Do note, however, that the black strip in front of the white platform will not trigger the end of the run, so make sure to cross the white platform to record your time.
It is possible to get more than one person on the obstacle course at a time. (May be patched. Needs confirmation) There are sections of walls that can be wall run on at the beginning of the course. This is not helpful in any way, but was left as a wall-runnable surface while most of the other surfaces have it disabled.
I believe Elite Cynder currently holds the legitimate world record for fastest time to do THE ENTIRE course. 27.05 seconds
the .01 second things don't count, they used a glitch to skip the entire course. there are no other pictures or videos online anywhere of times below 27.05 that were not done using glitches or unpatched cheat methods
go and google warframe obstacle course records. there is no recently posted times that beat 27.05, and any times that do used methods of skipping obstacles which are both not legit and patched