Allyson and Adrian have decided to connect their ankles with a bungie cord; one end is tied to each person's ankle. The cord is 30 feet long, but can stretch up to 90 feet. They both start from the same location. Allyson moves 10 ft/sec north and Adrian moves 8 ft/sec west. There is a building with the nearest corner 30 ft north and 20 ft west of the girls' starting point. When will the bungie cord first touch the corner of the building?