It was a dark and stormy night. Unable to continue driving, two truck drivers, John and Bill, were stuck at the (clever name here) Truck Stop and decided to have dinner together. At the end of their meal, Bill noticed that his water glass was empty while John’s glass was still full. Bill was terribly thirsty, and since the waitresses were extremely busy, he stuck his straw in John’s glass, put his finger on the top to trap water, moved the straw over to his glass and released the water. He wondered what would happen if he did this over and over again. Would he ever end up with equal amounts of water in the two glasses?
“Mathematically, Bill’s question is an interesting one,” Kevin Iga and Kendra Killpatrick of Pepperdine University propose in the March College Mathematics Journal. The problem was originally presented to Killpatrick by a truck driver (named John) who had assisted her with a move across the country.