No interference from the social media or news site, use the time you have only working on the project with a iron focus, make a working plan etc and you will notice you'll get shit done pretty fast even though you have a limited time each day.
You're main goal should be to add something each day to the project, and try avoiding not adding anything at all, it could me something small on the days your stuck, but as long as you keep moving forward it is possible.
I've managed to build a small business im running on the side next to having a full time job, i managed by adding bricks to it everyday till it was ready, then i initiated the project and its so well planned it only puts me to work one or two days a week and i can include my wife, there are eventually tasks she can handle and help out with.