1112.1: The Faculty Hit the Gym - Solution

 

 

In our last puzzle, you were asked to find the interesting Hamilton-related property exhibited by four workout times for each of four Hamilton faculty. One way to see the special property is to make a little table.

 

Monday Tuesday Wednesday Thursday
Oerlemans 49 48 46 47
Casey 45 44 42 43
Buchman 53 52 50 51
Shuster 59 58 56 57

 

The times form what is commonly known as a magic square. The four faculty have coordinated their workout times so that the sums of their four times, taking one for each of the four days and one per person, is a constant.

For example, take Oerlemans on Monday (49), Casey on Wednesday (42), Buchman on Thursday (51), and Shuster on Tuesday (58). Or take Oerlemans on Thursday (47), Casey on Wednesday (42), Buchman on Tuesday (52), and Shuster on Monday (59). Every such sum is the same, Hamilton College’s age of 200.

 

Perhaps a simpler way to get to the 200 is to sum the average workout times for each faculty member.

 

Winners

 

The winner of the logic puzzle contest, chosen by lot from among acceptable solutions by eligible candidates, is Jordan Graziadei’ 15. Correct solutions were also submitted by Evan Kaplan ‘12, Mary Swartwout 15, and Robin Kinnel.

 

Thanks to all who submitted a response!