Clock Question

Logic Level 2

In 24 hours how many times does the minute hand overlap the hour hand?

26 23 20 24 22

Jewel Jose by Jewel Jose , 18, United Kingdom

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2 solutions

Jewel Jose
Aug 19, 2017

The correct answer is 22.

And here is the proof

  1. 12:00 am

  2. 1:05 am

  3. 2:06 am

  4. 3:17 am

  5. 4:22 am

  6. 5:27 am

  7. 6:33 am

  8. 7:38 am

  9. 8:43 am

  10. 9:49 am

  11. 10:55 am

  12. 12:00 pm

  13. 1:05 pm

  14. 2:06 pm

  15. 3:17 pm

  16. 4:22 pm

  17. 5:27 pm

  18. 6:33 pm

  19. 7:38 pm

  20. 8:43 pm

  21. 9:49 pm

  22. 10:55 pm

(The given times are nearest to the minute.)

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Munem Shahriar
Sep 2, 2017

I posted it a long time ago.

The minute hand will go round the dial 24 times, but the hour hand will also complete two circuits. ⇒ ( 24 − 2 ) = 22 \Rightarrow (24 - 2) = 22

The answer is 22 \boxed{22}

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