This article describes what is often referred to as the dog, beetle, mice, ant, or turtle problem. Solutions to this problem exist, some being variations of each other, which involve mathematics of a wide range of complexity. Herein, the authors describe the intuitive solution and the calculus solution and then offer a completely new solution using the sum of a geometric series applied in an unexpected way. The remainder of the article deals with more subtle points which teachers might wish to discuss with the mathematically stronger students in their class.