The 24-Hour Cycle Riddle 🕰️

Clock riddles are commonly used in brain teasers, competitive exams, and logic puzzles to sharpen analytical skills. Whether you’re calculating the angle between hands or figuring out when they will coincide, these riddles offer a great mental workout!

These riddles often require logical thinking, basic math, and problem-solving skills. They can range from simple questions about telling time to complex puzzles involving angles, overlapping hands, or mirrored reflections of a clock.

The 24-Hour Cycle Riddle 🕰️

A 24-hour clock begins at 12:00 midnight. After exactly one hour, the clock is turned backwards by 30 minutes. How many hours will it take for the clock to return to 12:00 midnight?

The 24-Hour Cycle Riddle

Hint :

The key to solving this one is understanding that the clock is turned backwards by 30 minutes after one hour. This means the clock goes back in time for a short period, so it’s no longer running continuously forward.

Instead of moving forward one hour, think about how the backward shift affects the time needed for the clock to return to 12:00 midnight.

Try to consider how the backward shift (of 30 minutes) impacts the total time it takes to make up for this movement.

Answer:

Understanding the Clock’s Movement

  • The clock starts at 12:00 midnight (00:00).
  • After exactly one hour, it moves to 1:00 AM (01:00).
  • Then, the clock is turned backward by 30 minutes, moving it to 12:30 AM (00:30).
  • This cycle repeats:
    • +1 hour forward
    • −30 minutes backward
    • Net movement per cycle = +30 minutes

Finding the Total Time to Reach 12:00 Midnight Again

  • Each cycle moves the clock forward by 30 minutes.
  • A full 24-hour clock has 1440 minutes (24×6024 \times 6024×60).
  • To return to 12:00 midnight, we divide:1440÷30=48 cycles
  • Since each cycle takes 1 hour, the total time required is 48 hours.

Final Answer:

👉 48 hours (or 2 days)

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