Diligent refers to showing careful and persistent effort in tasks or duties. The synonym "hardworking" captures this essence, as it describes someone who puts in significant effort and dedication towards their work. In contrast, the other options—careless, slow, and lazy—reflect a lack of effort or attention, making them antonyms rather than synonyms. Thus, hardworking is the most fitting synonym for diligent, emphasizing a strong work ethic and commitment.