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A Sam Lloyd Classic

A square formation of soldiers, 50 feet on a side, is marching forward at a constant rate.

Case 1: Running at constant speed, the company mascot ran from the left rear to the left front of the formation and back again in the time it took the company to march forward 50 feet. How many feet did the dog travel?

Case 2: Running at a faster rate, the mascot ran completely around the square formation in the time the company marched 50 feet forward. How many feet did the dog travel this time?


Hint: Try this problem in more than one way.....as it gets confusing!


Solution Commentary: None provided...I will let you play with it throughout the summer...maybe next fall I will post a solution....or why not send in yours?