how long does the bus take from Qingdao liuting international airport to local municipal hospital?

Hi, as I know, the hospital has two branches in the city, which one do you refer to?
If you mean the one at No. 1, Jiaozhou Road, you can take th airport shuttle bus line 2 to its terminal at the local railway station and then change a taxi to that hospital.
If you mean the one at No. 5, Middle Donghai Road, you can take the shuttle bus line 1 to Dong Hai Yi Lu Station and then take taxi for that place.