Question 123
There are three runners in different vertices of an equilateral triangle with side $1$: First, Second and Third. They start moving simultaneously in the same direction (Second in First's direction, Third in Second's direction, First in Third's direction). Is it necessary that they all meet in one point at the same time, if:
a) First, Second and Third have velocity $2008$, $2009$ and $2010$ respectively?
b) They are moving with distinct natural velocities?
a) First, Second and Third have velocity $2008$, $2009$ and $2010$ respectively?
b) They are moving with distinct natural velocities?