This is a voiceless video guide. These are my routes for getting through the platforming vaults, obtaining both chests in each map, and with zero backtracking.
Optimal Routes for Platforming Vaults / Video Guide
I put together a video for friends to use as a guide to get through vaults as efficiently as possible, and I figured I'd share it with everyone here as well.
I did these runs at 90% movement speed to insure you could execute this in every run within the time limit. Each route includes BOTH chests, saving a ton of time when running through the vaults. It also includes a consistent way to do the desert jump to the green chest that so many players have problems with.
I highly recommend practicing each route for a few minutes just to really help it stick.