We Got A Problem #2: The current time is… 120 degrees
June 27, 2011 3 Comments
The hour, minute, and second hands of a continuously-moving clock all point the same direction at 12 noon. But when are they equally spaced around the clock face?
In attacking this problem, Kathy from Pittsburgh pointed out that at 12:20:40, the hands almost form three 120-degree angles. But they don’t, because the hour hand has moved a little passed 12 on its way to 1, and the minute hand has moved a little too.
So, when do the three clock hands form three 120-degree angles?
We’d love for readers to be able to explore this problem, so resist the urge to provide answers in the comments. Instead, we’d love helpful suggestions and ideas about different ways to approach the problem, successful or not. If you’d like to provide a full solution, do so with a pingback to your own blog!