It took me two hours to drive---the city. A.across B.through

选B
因为：through 作介词时多指从中穿过,通过,walk through the forest,send the message through email；是从一头（边）贯穿到另一头（边）.例The river runs through our city.He passed through the hall.
across 是指在表面上掠过,穿过,如 walk across the bridge,fly across the moutain,
还有对面的意思,如across the road ,
与“道路”交叉形成“十字”,go across the street
因此,本题选B.
祝进步.