In a faulty compass, East is marked as North, West as East, North as South, and South as West. If a group of people travels by following the 'Southeast' direction according to this faulty compass, what is the actual direction they are traveling in?

A and B start from the same point. A walks 30 m South, then turns West and walks 40 m, then turns to his left and walks 50 m. At the same time, B walks 80 m South. Where is B now with respect to the position of A?

Thomas goes from the church to the library after dropping his brother home. First, he goes 4 km to the West; then, he turns left and goes for 3 km to reach home. From there, he turns right and goes for a distance of 1 km to reach the library. What is the shortest distance between his home and the church?