Enigma 1447: Bonus points
25 March 2013
Posted by on
From New Scientist #2608, 16th June 2007
Albion, Borough, City, Rangers and United have played another tournament in which each team played each of the others once, two matches being played on each of five successive Saturdays, each team having one Saturday without a match. Points were awarded according to a formula now widely used in Rugby: 4 points for a win, 2 points to each team for a draw, and in any match either team or both teams might also gain 1 bonus point.
After the first Saturday’s match Albion led the tournament, followed in order by Borough, City, Rangers and United, 1 point separating each pair of successive teams. After the second Saturday’s matches 1 point still separated each pair of successive teams, but no team was in the same position as after the first Saturday’s matches.
If I identified my team and told you what position it was in after the second Saturday’s matches you could deduce with certainty which matches had been played on that day and how many points each team had gained in them.
Which matches were played on the second Saturday, and how many points did each team gain in them?