Following Canida's DIY playdough Instructable, I was able to make a neutral colour playdough in under 10 minutes.
To make your own playdough you'll need:
2 cups flour
2 cups warm water
1 cup salt
2 Tablespoons vegetable oil
1 Tablespoon cream of tartar
In a large saucepan I combined all ingredients and mixed thoroughly, then put on stove over medium heat. Stir the mixture continuously until it thickens.
In Canida's words:
When the dough pulls away from the sides and clumps in the center, as
shown below, remove the pan from heat and allow the dough to cool enough
IMPORTANT NOTE: if your playdough is still sticky, you simply need to cook it longer!
Keep stirring and cooking until the dough is dry and feels like playdough.
After the playdough is the right consistency the pan was removed from the heat and the dough was turned out onto a non-stick surface and allowed to cool for about 2 minutes. The dough was then kneeded to produce a uniform and smooth consistency.