There is a secret way. To solve the puzzle in the room on the left, you can hit the "j" key, then to solve the puzzle in the room on the right, you can hit the "m" key, and finally once you collect the rope and wood, to solve the puzzle in the central room you can hit the "b" key.
But in terms of design, we were trying to demo the speech thing without much thought for reasonable alternatives. I think allowing the user to pull up a keyboard prompt could solve this.