So on problem #8 if you pay close attention to the detector switch being closed and using the zen trick on the booster and ignitor. You would say the the booster and ignitor being parallel to one another they each have 60 volts. Then the main would receive 120 volts because it is not in series with the booster or ignitor?
Or is it that if you pay attention to the detector switch being closed does it affect the main by stopping voltage to travel threw it for a end result of 0 volts at the main for voltage drop?