The Hour Hand Riddle 🕰️

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The Hour Hand Riddle 🕰️

A clock’s hour hand is exactly on the 12 at noon. It then moves at its normal speed, and after a while, it is exactly 180 degrees opposite its starting point. How much time has passed when this happens?

The Hour Hand Riddle

Hint

The key to solving this is knowing how the hour hand moves. The hour hand moves 30 degrees per hour (because there are 360 degrees on the clock and 12 hours). Since you’re looking for when the hour hand is 180 degrees opposite its starting position, think about how many hours it would take for the hour hand to move half the clock (180 degrees).

Answer:

Understanding the Problem:

  • The clock’s hour hand starts at 12:00 noon.
  • You are asked to find when the hour hand is exactly 180 degrees opposite its starting point (meaning it’s on the 6 on the clock).

Step-by-Step Breakdown:

  1. The clock’s hour hand moves 30 degrees every hour (because there are 360 degrees on the clock, and there are 12 hours).
  2. To find when the hour hand will be 180 degrees opposite, we divide the 180 degrees by the 30 degrees per hour:

180 degrees/30 deegrees per hour​=6hours.

  1. Therefore, after 6 hours, the hour hand will be exactly 180 degrees opposite its starting position.

Conclusion:

It will take 6 hours for the hour hand to be 180 degrees opposite its starting position, which means it will be 6:00.

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