What type of transportation is available from Lanzhou to Pingyao, how far is it?

The distance is around 750 miles.
You are advised to take a train from Main Railway Station to Taiyuan Railway Station first. Then take a taxi to Jiannan Bus Station. After arriving, there are several direct coaches that can take you to Pingyao. Then get out of the station and walk west along East Zhongdu Street. Turn left at the first corner of Beiguan Road. Then walk south to the North Gate of the city.