Back to Top

ONU Problem of the Week

The final ONU Problem of the Week for the 2016-17 school year asks students to solve a math problem involving ants (Northern Review photo/Kasy Long)

The final ONU Problem of the Week for the 2016-17 school year asks students to solve a math problem involving ants (Northern Review photo/Kasy Long)

This is the final ONU Problem of the Week for the 2016-17 school year.

---

Consider five tiny ants randomly located along a line, with the initial distance between the left-most and the right-most ants being 20 cm. 

Suppose the ants begin moving (left or right) at a constant speed of one cm per second, with the left-most and the right-most ants initially moving towards each other. Suppose that whenever two ants meet they both instantly reverse directions. 

Question: How much time will elapse before the last meeting of the ants occurs?

---

Congratulations to the 47 ONU students who obtained all five points from the previous ONU Problem of the Week. Senior mechanical engineering major Dylan Dolph won the random drawing for the second week in a row to receive the $10 gift certificate to Cosi. 

Solutions for this week's problem must be submitted to Dr. Robinson by Thursday, April 20. Solutions can be slipped under Dr. Robinson's office door (Mathile 214), handed to the Department of Mathematics & Statistics administrative assistant, 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.