The first point is to appreciate the fact that, in a race round a circular track, there are the same number of cars behind one as there are before. All the others are both behind and before. There were thirteen cars in the race, including Gogglesmith's car. Then one-third of twelve added to three-quarters of twelve will give us thirteen--the correct answer.
391.--THE MOTOR-CAR RACE.
From Amusements in Mathematics by Henry Ernest Dudeney.