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ONU Problem of the Week

The ONU Problem of the Week will become a regular feature in the Northern Review, provided by the Department of Mathematics and Statistics. (photo/Laurence Robinson)

The ONU Problem of the Week will become a regular feature in the Northern Review, provided by the Department of Mathematics and Statistics. (photo/Laurence Robinson)

Howard challenges Zack to a swimming race that consists of swimming the length of a pool and back – say from side A to side B and back. Howard swims twice as fast as Zack, and therefore the two will pass each other when Howard is heading back to side A while Zack is still heading towards side B. At exactly what point will the two pass each other?  (Note: Assume that the “turnaround time” is negligible.)

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Solutions for this problem must be submitted to Dr. Robinson (or student Zack Goodchild) by Thursday, September 8. Solutions can be slipped under Dr. Robinson’s office door (Mathile 214), handed to the department secretary, sent via email (L-Robinson.1@onu.edu), or sent by campus mail.  Please include on all submissions your name, major, email address, campus address, and phone number.  You must show your work.