Season 1 question about Littlefingers motives?

Just finished season 1 and it’s great so if my question involves future spoilers just ignore me then. But when Baelish betrays Ned in the I told you not to trust me scene, are his motives explained in the next season? It seems smarter to go along with the plan he told stark with keeping the throne for now and revealing the lannisters secret when they need to? Or did he hate Ned that much?