The Fast and Slow Clocks Riddle

Answer:

Understanding the Problem:

• You have two clocks:
  • One clock is 5 minutes fast every hour.
  • The other clock is 5 minutes slow every hour.
• Both clocks start at the same time.
• After 12 hours, we need to calculate how much time has passed on both clocks combined.

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Step-by-Step Breakdown:

1. Fast Clock:
   The fast clock gains 5 minutes every hour.
   Over 12 hours, the fast clock will have gained:

5minutes/hour×12hours=60minutes(or 1 hour).

so thereby , after 12 hours, the slow clock will show 1 hour behind the actual time.

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Total Time Passed on Both Clocks:

• The fast clock shows 1 hour ahead (after 12 hours, it shows 13:00).
• The slow clock shows 1 hour behind (after 12 hours, it shows 11:00).

So, in total, the two clocks show:

13:00(fast clock)+11:00(slow clock)=24hours.

Conclusion:

After 12 hours, the total time that has passed on both clocks combined is 24 hours.

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