First and Second Timothy are letters Paul wrote to his young companion and apprentice. Paul intended to encourage the young leader as well as give him instruction.
Timothy was one of Paul’s closest companions. He, at Paul’s request, served as a leader to the Church at Ephesus to counter false teachings and guide the people of faith.
Paul encouraged Timothy, especially because of his youth. Timothy was one of the first second generation Christians. But Paul points out that even in youth you can still be an example to others and a leader in the faith.
Paul wrote First Timothy just before his final imprisonment in Rome. He intended to visit Timothy again, but since he couldn't right away Paul wrote to Timothy about practical advice for his ministry. This turned First Timothy, a personal letter, into a handbook of Church administration and discipline.
“Work hard so you can present yourself to God and receive his approval. Be a good worker, one who does not need to be ashamed and who correctly explains the word of truth.” (2 Timothy 2:15).