When is the next time Jack' clock will be exactly on time?

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Discussion Overview

The discussion centers around determining the next time Jack's antique cuckoo clock, which loses 9 minutes every hour, will be exactly on time after being correct at noon on Tuesday. The scope includes mathematical reasoning and time calculation.

Discussion Character

  • Mathematical reasoning

Main Points Raised

  • One participant suggests that the clock will be exactly on time again at 4 am the following Tuesday, which is 6 days and 16 hours later.
  • Another participant calculates that in 80 hours from noon Tuesday, the clock should also be correct, estimating this to be around 8 PM on Friday.
  • A later reply acknowledges the previous points made by another participant.

Areas of Agreement / Disagreement

There are competing views regarding the exact time the clock will next be correct, with one participant proposing 4 am the following Tuesday and another suggesting 8 PM on Friday. The discussion remains unresolved as to which is correct.

Contextual Notes

Participants have not clarified the assumptions behind their calculations, and there may be dependencies on how time loss is accounted for over the specified periods.

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Jack has an antique cuckoo clock. It's a lovely clock, but it runs too slowly; it loses 9 minutes of time every hour. Sam visits his friend Jack one day, and notices that the cuckoo clock is exactly on time at noon on Tuesday.
When is the next time Jack' clock will be exactly on time?
 
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4 am the following tuesday (6 days, 16 hours later)
 
Last edited:
in 80 hours from noon tuesday, they should agree

I suppose that is some time friday, 8 PM
 

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