One rainy day, a girl broke up with her boyfriend after being together for five long years. They decided to separate at a place where everything about them began, at the same time.

The boy is due North crying and running at a rate of 5ft/sec and the girl is walking due East at a rate of 1ft/sec thinking if she made the right decision.

a) How far are they from each other 5 sec after they started moving to a new life without each other?

b) And at that moment, the girl decided to pursue his boyfriend (who stopped for a while and thought about what have gone wrong). If the girl took the shortest possible path, how fast should she be able to catch up with her boyfriend?