。
How long does it take to get to Toshima Ward Office?
Literal
Toshima Ward-office [up-to-まで] how-much take-[polite-ます] [question-か]
豊島区 (Toshima-ku) is one of Tokyo's 23 special wards. 区役所 = ward office, the local government building. かかる here means 'to take (time/cost)' — a polysemous verb that takes time, money, and various other cost-senses. まで marks the destination as the endpoint of the travel.