Kitchen drains get blocked for various reasons:
- There might be a rough bit of piping in the drain. Gradually small things get caught there and eventually build up a blockage.
- Something large went down your sink and got caught on a bend.
- Hot water and melted grease runs down the drain. When the grease hits the cold pipes it congeals and forms a layer on the side of the drain, like cholesterol in your arteries. Gradually this builds up.
Make sure nothing goes down your kitchen drains except water. That is the solution.