Level with the random lock and untangling lines puzzles

Okay, so unless there's an easier way to do this, in one level they give you a half hour to complete the random lock puzzle, untangling lines puzzle, slider puzzle, and playing the computer in that squares games puzzle, and maybe more (I don't know, I haven't been able to finish it). Can I somehow solve a level in between those puzzles? Or is it really possible to solve all of those in 30 minutes time? I cannot tell you how many times I've tried and I always run out of time during the squares game. If someone can help me, that'd be great. Thanks!