5. The man's problem is that he has to finish a research paper but cannot find a quiet place to write it because the library is under maintenance work.
The man and the woman suggest two possible solutions to the problem. The first suggestion is to go to a cafe off campus. The second suggestion is to complain to a the maintenance supervisor.
I think the first suggestion is better for him. This is because the supervisor won't be is less likely to accept the man's opinion. Also even though the cafe is inconvenient and far away, the man would not be able to look for quieter places than the cafe.
For these reasons, I would recommend the first option for him.
Comments: Problem 요약이 잘 되어있고 제시된 이유가 적절합니다. 조금 더 구체적인 설명이 필요해보인 부분들이 있네요. Supervisor가 남자의 의견을 왜 안받아들일 것 같은지에 대한 설명도 추가해주시면 좋겠습니다.