Well hang on. Not all hiit routines are created equal.
HIIT routines (high intensity interval training) can last anything from 10 minutes to 60 minutes.
Doing a 20 minute HIIT routine would probably burn off similar calories to the 40 minute lower intensity workout. But during those 20 minutes you really need to work your arse off and push yourself extremely hard, with lots of intense moves.
Jumping jacks and the dreaded burpees fit that description, but you have to really go for it, not just flail around, or you are missing the point of HIIT. Plank? Meh. It doesn't really burn many calories to be honest. Same for push ups. They tone, but that's about it. They are generally used as recovery in between cardio during hiit routines.
I've also never seen a hiit routine which allows an equal time working out to resting. That would seem to defeat the purpose - normally you get half the time to recover (so tabata is 20 seconds on, ten seconds off for example), so your body is still recovering when you re start the move.
I really strongly recommend hiit routines, but stand by my view that this is a pretty shit example. You can get some really good routines for free of charge on youtube, many of which you could do in the same timeframe.
Fitness blender are a personal favourite of mine due to their variety, but blogilates also have some decent cardio workouts, not to mention plenty of others.