Maytag dryer MDE5500AYW sticks at 20 min in the Auto Dry & is hot! Works in Time mode

These driers will do that when the lint builds up like concrete on the inside of the air ducts. Halfway doing it will not work. You need to totally tear it down and scrape out and wash all of the parts except the motor, which you vacuum out. You can go to YouTube to see videos on how to take it apart, but do a very good job or it will fail again quickly. I would get a new belt and change it while you have it apart and get some white lithium grease and grease any bearings you find. You need to clean out a drier every two years, at least, according to the manual. You just unplug the wires from the sensors and remove ductwork that they are attached on and clean the entire thing with soap and water. Make sure you go all through the dryer and get all parts like the blower fan and housing, vacuum out motor well and clean exhaust. Mark all wires you unplug so you know where they go. This is an easier job than you would think. Make sure to clean around all of the sensors, too, because when they cannot sense the dryer will not work, plus the burning lint deposits will burn down your house. See: Dryer vent cleaning prevents fires - YouTube and: Cleaning out a dryer with top lint cleanout - YouTube
Cleaning out a dryer: By a woman 2 of 2 - YouTube
Here are some manuals: https://dl.dropbox.com/u/8010163/Maytag%20Dryers.zip
https://dl.dropbox.com/u/8010163/How...e%20Manual.pdf
You should test the sensors with an ohm meter the way you are instructed in the manual for this dryer. You need a thermometer and an ohm meter (volt/ohm meter). Once the inside of the air ducts are clean and shiny it should go back to working. On the automatic setting the timer advances when the sensors tell it to do so. If they cannot sense then it will not advance.