maths puzzles - need help

In how many ways can the number 2008 be written as the sum of consecutive positive integers?

Arrange 5 red queens and 3 blue queens on a 5×5 board so that no queen attacks a queen of the other colour.

Consider 4 (dimensionless) flies, 2 males and 2 females. They are situated at the corners of 1 square meter. Every fly tries to reach the male/female fly in front of her/him.

Since the flies are flying towards another, they will meet each other at a certain time in the center of the square. How far does each fly fly?