For about 10 years after the French Revolution, the French government attempted to base measures of time on multiple of ten: One week consisted of 10 days, one day consisted of 10 hours, one hour consisted of 100 minutes, and one minute consisted of 100 seconds. What are the ratios of (a) the French decimal week to the standard week and (b) the French decimal second to the standard second?
(a)
So the ratio is 1.65, but the answers say that it is 1.43 ?
Also, in the first question I assumed that the 'French' second was the same as the 'normal' second, so wouldn't my answer to the second question make the answer to my first question invalid? Thanks.
Hello, DivideBy0!
A fascinating problem . . . took me a few moments . . .
Note that (nearly) all the units are unequal . . . weeks, hours, minutes, seconds.For about 10 years after the French Revolution, the French government
attempted to base measures of time on multiple of ten:
One week consisted of 10 days, one day consisted of 10 hours,
one hour consisted of 100 minutes, and one minute consisted of 100 seconds.
What are the ratios of (a) the French decimal week to the standard week
and (b) the French decimal second to the standard second?
. .
. .
All of this is absolutely correct!
The only unit that both systems agree upon is the length of one day.
. . (Perhaps measured from sunrise to sunrise.)
. . The French second is about 1½ jiffys longer than a Normal second.