Fred and Pete are riding their bicycles along two straight footpaths that lead to a junction. They are both riding towards the junction. The angle between the two paths, at the junction, is 70°. Fred is riding an old red bicycle with a rear wheel diameter of 0.5 m. This wheel is turning at a constant speed of 152.79 RPM. Fred will reach the junction in 5 seconds. Pete is riding a new blue bicycle at a speed of 2 m/s and is 15 m away from the junction.

a) Will the two boys collide at the junction? If not, by how much time will they miss each other?

b) From Fred\'s viewpoint (his corner of the triangle), what is the angle between the junction and Pete?