The Two Hour Hands Riddle 🕰️

A clock riddle is a type of brain teaser or puzzle that involves the positions, angles, or movements of the hands on an analog clock. These riddles challenge logical thinking, mathematical skills, and spatial reasoning.

The Two Hour Hands Riddle 🕰️

At exactly 12:00 noon, two clocks are synchronized. One clock runs at the correct speed, while the other is 5 minutes fast every hour. After 12 hours, how much time will have passed on the fast clock compared to the slow one?

Hint:

The first clock is running at the correct speed, while the second clock is 5 minutes fast every hour. So, every hour that passes, the second clock is gaining an additional 5 minutes compared to the first clock.

To solve this, you need to figure out how many minutes more the fast clock will show after 12 hours and then compare the total time that passes on both clocks.

Answer:

Understanding the Problem:

The first clock runs at the correct speed.
The second clock is 5 minutes fast every hour, meaning that for each real hour, the second clock is ahead by 5 minutes.

Step-by-Step Breakdown:

At 12:00 noon, both clocks show the same time.
The first clock runs correctly, so after 12 hours, it will show 12:00 midnight.
The second clock is 5 minutes fast every hour. So after 12 hours, the second clock will have gained 5 minutes per hour × 12 hours = 60 minutes.
Since 60 minutes = 1 hour, the second clock will show 1 hour ahead after 12 hours.