<p>I came across this question on a sheet my teacher gave the class. He wanted to see if he should teach the class towards the test. I got most of the other questions, but this one really stumped me. Any help is appreciated. I would prefer the most detailed explanation possible. Thanks!</p>
<p>For about 10 years following the French Revolution, France tried to base measurement of time on multiples of ten: one week would last 10 days, with 10 hours in a day and 100 minutes in an hour and 100 seconds in each minute. Find the ratio of the French decimal week to the standard week and the French decimal second to the standard second. The French day would be the standard day that we use (the rotational period of the Earth).</p>
<p>Wow, I never heard of the French doing this. Interesting problem.</p>
<p>For the week, I think it would be like this:
There are 10 hours in a day, but the days are the same length as 24 hour days. So the French 10 days would be equal to 10 standard days. Therefor, the ratio of French weeks to standard weeks would be 10:7.</p>
<p>For seconds:
There are 10 hours in a day, but the days are the same length as 24 hour days. That means that a French hour is equal to 2.4 standard hours, or 144 standard minutes, or 8640 standard seconds. With 100 French minutes (1 French hour) equal to 8640 standard seconds, a French minute would have to equal 8.64 standard seconds. With 100 French seconds equal to each French minute, there would have to be 100 French seconds for each 8.64 standard seconds, so the ratio would be 100:8.64.</p>