I can confirm that this trick works for the "Refinery Speed Run" achievement personally. It takes a second for it to pop, but as Lara's dead body is floating amongst the blue goo and the screen fades to black... Achievement Unlocked! I can also confirm (as is mentioned in link) that you can save game at checkpoint prior to the start of speed run. If you fail just reload. Link also includes tips for the "Right of Passage" achievement as well.
Hope this helps!
All credit goes to lordraven. You can find the link here