Mario and Luigi are avid go kart. They are doing a 220 km time trial. Mario sets off at 10 am. He starts at 40 km/hour until he reaches the halfway point, where there is a steep hill. It takes him 30 minutes to race up the hill at 20 km/hour. At the top is Bowser’s Castle where Mario stops for 30 minutes to rescue Toad (Princess doesn’t need rescuing). He then continues at 40 km/hr until the end of the time trial. Luigi leaves 45 minutes after Mario. He travels at a constant speed of 55 km/hour. At what time does Luigi pass Mario?