"In the context of a software project called 'ABC,' there is a requirement for 600 points of work categorized as 'TYPE 1' and 800 points of work categorized as 'TYPE 2.' Looking at the historical performance of the team, it has been observed that a group of 5 programmers can complete 200 points of 'TYPE 1' work in 10 days, while 4 programmers can complete 50 points of 'TYPE 2' work in 5 days. The company has a total of 8 programmers available for Project ABC. The question is, how many days will it take for this team of 8 programmers to complete all the work?"