Symmetric Time

Geometry Level 4

At some time close to a quarter past two, the hour and minute hands of the clock are mirror images of each other, with respect to the horizontal line through 3 o'clock.

What is the precise time that this happens? Round off to the nearest second; give the answer in the form \(\text{HMMSS}\). (For instance, if the answer were 2:12:41, type 21241.)

Extra challenge: How many times does a symmetric situation like this occur in a 12-hour period?

Courses

Topics

Community

100 Day Summer Challenge

Symmetric Time

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Courses

Topics

Community

100 Day Summer Challenge

Symmetric Time

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.