2010 Jetta with 2.5 engine, the a/c it taking too long to blow cold air. on 2010 Volkswagen Jetta

It usually takes about 5 min. or when the temp. gauge is half way, I noticed that the fan does not turn on when I turn on the A/C, but when temp. gauge is halfway both fans start working and a/c is nice and cold.. What could be my problem? I need some help. Thanks

Asked by for the 2010 Volkswagen Jetta
the low speed sensor for your fan may not be working. I'm guessing when the high speed fan turns on when the engine it hot enough, then the a/c works too because the A/C wiring is also connected to the fan.
thanks for your help, any idea where that could be? I'll do some research and try to find some schematics or its location. again thanks