Public transport modes within Ukhta include small buses (called "Marshrutka") and cabs.
The small busses are available from 6 am till 9 pm every day. They drive every 3-7 minutes during a day and usually are quite fast. The bus ticket for a trip costs 17 rubles.
Route maps are below.
The cabs are in service within 24 hours. To take a cab you need to call any taxi service company. The cost of it varies from 80 to 250 rubles and depends on the distance to your destination.