Lisa drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 12 hours. when lisa drove home, there was no traffic and the trip only took 8 hours. if her average rate was 20 miles per hour faster on the trip home, how far away does lisa live from the mountains?

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.