Difference between revisions of "Wrong clocks"
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Oscarlevin (talk | contribs) (Created page with 'Saw this one on Professor Layton 2. ==Puzzle== To analogue clocks hang side by side on a wall. One of the clocks is slightly fast, the other slightly slow. One day at noon, y...') |
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{{Hint| When will the fast clock be one hour ahead? What will the slow clock display then?}} | {{Hint| When will the fast clock be one hour ahead? What will the slow clock display then?}} | ||
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{{Answer| It will take 360 hours (15 days) for the clocks to display the same time as each other again.}} | {{Answer| It will take 360 hours (15 days) for the clocks to display the same time as each other again.}} | ||
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{{Solution| Each hour, the fast clock gains one minute. So in 60 hours, the fast clock will be one hour ahead. The slow clock will be one hour behind. If we repeat this five more times, the fast clock will be 6 hours ahead, and the slow clock will be six hours behind. So both will display that it is exactly 6:00. This will take $60\times 6 = 360$ hours.}} | {{Solution| Each hour, the fast clock gains one minute. So in 60 hours, the fast clock will be one hour ahead. The slow clock will be one hour behind. If we repeat this five more times, the fast clock will be 6 hours ahead, and the slow clock will be six hours behind. So both will display that it is exactly 6:00. This will take $60\times 6 = 360$ hours.}} | ||
Revision as of 14:40, 6 July 2013
Saw this one on Professor Layton 2.
Puzzle
To analogue clocks hang side by side on a wall. One of the clocks is slightly fast, the other slightly slow. One day at noon, you set both clocks correctly. After one hour you notice that the fast clock displays 1:01 and the slow clock reports the time as 12:59. Assuming the clocks continue to be fast and slow at the same rate, how long before both clocks agree on the time again?
Help
Hint
When will the fast clock be one hour ahead? What will the slow clock display then?
Answer
It will take 360 hours (15 days) for the clocks to display the same time as each other again.
Solution
{{{1}}}
References
Professor Layton and the Diabolical Box - sequel to the Curious Village. Another great Nintendo DS puzzle game.
