According to Baidu map query, it takes 3 hours and 38 minutes to drive from Houma to Taiyuan, passing through Beijing-Kunming Expressway, Wang Cheng Road and Dashang Line. The whole journey is 323.0 kilometers.
You can also take the D 1906 train 21:19-22: 51at Houma West Station and get off at Taiyuan South Station via Linfen West. Whole journey 1 hour and 33 minutes.