Unless you are travelling like a rocket then add about 1 hour to the travel schedule. You will have to be travelling the Yayla road to do it that even that quickly.
Korkutelli is a good place to stop especially if you like haricot beans, the salad is called piyaz and goes well with kofte, its an area speciality.
If you have time to spare (at least 2 more hours)then a detour to Elmali is interesting to see their road of shops dedicated to sweet vendors and the Selcuk mosque and water fountain, then you come back to the main road via Seki, a beautiful scenic trip through the mountains but is likely to be closed by snow at this time of the year.
Happy travels