The Amish don't own automobiles, but it is common to see them riding in other peoples' vehicles. Some even have made a business of offering rides, for a fee, to them. Why will the Amish ride in automobiles if they will not own them?
Maintaining Amish standards, but accepting some modernization to meet needs of living, requires compromise that must not disrupt the social structure. By rejecting certain types of modernity and accepting others, some Amish appear to the outside world to be contradicting themselves - hypocrites. However, from the viewpoint of Amish culture, there is no contradiction. One of the more pronounced inconsistencies is the use of an automobile...although he may not own a car, a member may accept rides and willingly hires an automobile with a driver to transport him from place to place. There was little hesitation when the Amish decided no to car ownership. It would separate the community in various ways. If only wealthy members could afford it, the car would bring inequality. Proud individuals would use it to show off their status, power and wealth. Cars would speed things up dramatically, disrupting the slow pace of Amish living. So, they will use them but not own them, for then things will surely get out of control.
This is from
http://www.holycrosslivonia.org/amish/amishfaq.htm#auto