As I remember it, with the rolling score reels, a reset would result in all the score reels being returned to "0" by running the motor in reverse. I don't remember if this is a timing issue (set amount of time run backwards) or if there are wiper contacts that simulate the Run out switches of a normal score reel. It appears that when you release the armature that is holding back the timer reels, it allows the reset sequence to continue to the next step(s).
The timer reels would normally be set to 00 and count up to the normal game time. In some games, when you earned the extra time (beat this score), it would proceed past the normal time and then end game at the extended time. Instead of counting down like other games have done.