Boston teenagers working in a city summer employment program will be able to stay on the job for an extra week, Mayor Thomas M. Menino’s office said Monday.

In an e-mail, Katie Ward, a spokeswoman for Menino, said most of the 3,340 teenagers working in the mayor’s Boston Youth Fund program will work until Aug. 24, as opposed to this Friday, which was the originally scheduled closing date.

“I’m very proud of these kids who have spent their summer working hard and serving their community,” Menino said in a statement. “And this additional week of work not only puts an extra paycheck in their pockets but allows them to maximize their time in a productive working environment and sets them up to start school on a positive track.”

Dot Joyce, another Menino spokeswoman, said there was extra money in the budget for the program to lengthen it by one week.

Ward said youths enrolled in the program work approximately 25-hour weeks at various community, faith-based, and city agencies, earning an $8.00 hourly rate. She said jobs include camp counselors, mural painters, tutors, and administrative assistants.

Youth Fund employees are also offered training in resume writing, financial literacy, and health and safety in the workplace, she said.

“While not all worksites will be able to participate, the city estimates that most of the 3,340 teens will continue for an additional week,” Ward wrote.

According to the Youth Fund website, positions in the program are not guaranteed, and partnering organizations can select some workers through an interview process. The Youth Fund makes the majority of placements through a random selection process.

“Through their BYF experience, each youth employee is able to gain a sense of responsibility and teamwork, while broadening their sense of community,” said the website. “The Boston Youth Fund intends that all participants in the program be a part of a solid working experience and that they form lasting relationships that carry beyond the summer months.”