. The tourists arrived (at, to, in) the hotel and (show) (at, in, to) their rooms.

А почему at their rooms? Там ведь написано и их проводили в их комнаты. Тут предлог "в" означает направление, а не расположение. Значит, to.

описка видимо

The tourists arrived to the hotel and were shown at their rooms.