Did you guys know you could ride around on Mado's chair throughout the game? I just noticed it.
Yeh, if you go back to the chair, get on it normally, and use the bike effect, when you leave the chair you look like you aren't using the bike but you at over 4x speed, it's useful until you need to use another effect.
http://yumenikki.wikia.com/wiki/Effects#Chair