math challenge

Week of February 24 - March 2, 1997

Soccer Slackers' Sentence

Coach caught Luke and Ely slacking-off during soccer practice. As punishment, Luke and Ely had to run around the perimeter of the school yard.

They each began at exactly 12:00 p.m. Luke begins at point A, and Ely begins at point C. Both are running in the direction shown. Each side of the school yard is 240 meters.

Luke is running at 8 km/hour, and Ely is running at 12 km/hour. They must continue until they run into each other.

When and where will they run into each other?

See the solutions