IMO 1985 LL BEL6
On a one-way street, an unending sequence of cars of width a,
IMO 1985 LL BEL6
Origin: BEL
Problem
On a one-way street, an unending sequence of cars of width a, length b passes with velocity v. The cars are separated by the distance c. A pedestrian crosses the street perpendicularly with velocity w, without paying attention to the cars. (a) What is the probability that the pedestrian crosses the street unin- jured? (b) Can he improve this probability by crossing the road in a direction other than perpendicular?