At the recent BrainBashers Championships, the 100 metres heats were closely observed.
Each contestant had to run in two races so that the average place could be determined.
Only one runner finished in the same place in both races.
Alex was never last. Chris always beat Dale. Billie had at least one first place. Alex finished third in at least one of the races. Both Dale and Chris had a second place.
Reasoning
Since Chris always beat Dale, and Dale had a second place, one race must have been Chris first and Dale second.
Billie therefore won the other race, with Chris second.
Since only one runner finished in the same place in both races, this must have been Alex in third.
?
Puzzle 198
A coin collector decides to divide his coin collection between his children.
The eldest gets 1/2 of the collection, the next gets 1/4 of the collection, the next gets 1/5 of the collection, and the youngest gets the remaining 49 coins.
