It depends on your goals, but as a new runner, speed comes with time and while you can increase some speed work outs into your training, such as fartleks--AKA speed play--when you cover more distance, you are building the energy systems to go longer, which over time will allow you to go faster for those shorter distance. SparkPeople offers a 10K training program (see link below)
Patience is key to becoming a runner. I would like to tell you that even after 7 years I still struggle from time to time with my runs, especially as I begin gearing up for race season which just started. Having spent the winter months base training, now I am moving into more specific workouts and while they are tough physically, they are very challenging mentally. Consider running as a work in progress... www.sparkpeople.com/resource/fitness_artic
I hope this helps! RUN SPARK HAPPY!