I've been thinking the same. I'm on week 5 and felt at some points that I could push myself a bit faster once I was in a good rhythm - but I don't want to jeapordise all my work so far. Well done on getting to week 6
The plan is to build your stamina and endurance first, by getting yourself up to running for 30 minutes 3 times per week.
However, if you feel you have more in the tank, then why not - just be careful not to overdo it. It would be a shame to lose momentum. Also, you could utilise your rest day for some cross training which will compliment your running and help to get you fitter and stronger.
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