Amogh, a regular commuter, arrives at the train station at five o'clock every evening, where his wife meets him and drives him home. One day, Amogh takes an earlier train and arrives at the station at four. Instead of calling his wife, he decides to walk home along the route his wife usually takes. They meet somewhere along the way and they drive home, arriving 10 minutes earlier than usual. Let us say that the wife drives at a constant speed and always leaves just in time to meet the five o;clock train, how long did Amogh walk before his wife picked him up?
