In Rage, if you can't do the 3 consecutive jumps, you can do the more reliable route of going further up the trapdoor pillar.

Small tip for Speed, when you need to do the final jumps at the end at 4:52, sprint against the 1st bar of blocks and hold jump. This should guarantee you to land on the 2nd bar of blocks. The following bars of blocks, you'll need to practice quickly tapping forward and sprint at the same time followed by a jump.