UNO High School Problem of the Week Competition

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Problem 8



Spencer and Bryan are running on a circular track. They both start at the start line at the track. Bryan is running counterclockwise on the inside track, which has a radius of 50 meters, at a steady rate of 200 m/min. Spencer is running clockwise on the outer track, which has a radius of 70 meters, at a steady rate of 280 m/min. If they run for 35 minutes, how many times will they pass each other?

Students, email your solutions to rkeimig@unomaha.edu. Solutions are due by 11:59PM on Friday, November 6th, 2008. Along with your solution, include your name, your school's name, the name of your math teacher or math club moderator, and your year in school.
Don't forget to send your work along with your solutions!

Solution