Oh my god I loved this quest! A bit frustrating, but, it felt so wonderfull, that little heart attack with every jump!
Just a hint, simultaneously press W+Space (forward and jump on default key bindings) while standing still, will make a decently good jump ahead, will get you across most of the jumps, and is very safe. Practice it a bit on the ground, not above a pit Then it's all fun and "solving" the puzzle of where to jump next