Marathon Results - Logic Puzzles
The recent BrainBashers annual marathon has just taken place.
The judges have given up keeping track of who won, as the results go missing every year.
Using the following spectators' notes, can you determine who finished where?
Terry Tipton finished after Lake Linkerton and Alex Adams but before Mason Miller.
Pat Peterson finished before Dale Dartford and Lake Linkerton.
Ryan Richards finished after Pat Peterson and before Jesse Jacks and Harper Hall.
Kelly Kirkpatrick finished after Pat Peterson, Mason Miller, and Terry Tipton.
Lake Linkerton finished after Alex Adams and Dale Dartford but before Jesse Jacks and Mason Miller.
Mason Miller finished after Ryan Richards and Alex Adams.
Alex Adams finished before Jesse Jacks, Mason Miller, and Pat Peterson.
Dale Dartford finished before Kelly Kirkpatrick and Terry Tipton but after Ryan Richards.
Jesse Jacks finished before Kelly Kirkpatrick, Terry Tipton, and Mason Miller, but after Pat Peterson and Dale Dartford.
Harper Hall finished before Mason Miller but after Lake Linkerton, Jesse Jacks, and Terry Tipton.
Puzzle Copyright © Kevin Stone
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Answer
Alex Adams
Pat Peterson
Ryan Richards
Dale Dartford
Lake Linkerton
Jesse Jacks
Terry Tipton
Harper Hall
Mason Miller
Kelly Kirkpatrick
Reasoning
If we number the clues, write each name using two letters, and rewrite the clues so that those who finished ahead are written first:
LL and AA beat TT
TT beat MM
PP beat DD and LL
PP beat RR
RR beat JJ and HH
PP, MM and TT all beat KK
AA and DD beat LL
LL beat JJ and MM
RR and AA beat MM
AA beat JJ, MM and PP
DD beat KK and TT
RR beat DD
JJ beat KK, TT, MM
PP and DD beat JJ
HH beat MM
LL, JJ and TT all beat HH
By (10): AA PP
By (4): AA PP RR
By (12): AA PP RR DD
By (7): AA PP RR DD LL
By (8): AA PP RR DD LL JJ
By (13): AA PP RR DD LL JJ TT
By (16): AA PP RR DD LL JJ TT HH
By (15): AA PP RR DD LL JJ TT HH MM
By (6): AA PP RR DD LL JJ TT HH MM KK
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