Posted by Kim on Wednesday, January 16, 2013 at 4:02am.
One revolution of the Sun by the Earth requires 365 days, 5 hours, 48 minutes and 49.7 seconds. the 5 hours, 48 minutes and 49.7 second is approximated to 1/4 of a day. Every 4th year, one full day is added( leap year). How much of an error in minutes and seconds does this approximation produce every 4 years?( This time difference is corrected at some later date.)
Find the result when the largest 4 digit number, all of whose digits are different, is subtracted from the smallest 5digits number, all of whose digits are different .

MATH PROBLEM  bobpursley, Wednesday, January 16, 2013 at 9:18am
first: what is the difference in 5h48'49.7" and 6hr?
answer: 11'10.3" check that. In four years, it is four times that.
second. smallest 5 digit number dealing with digits 0,1,2,3,4, and leading digit not zero: 10234
largest 4 digit number: 9876

MATH PROBLEM  Reiny, Wednesday, January 16, 2013 at 9:31am
5 hrs, 48 min, 49.7 sec
= 5/24 + 48/(24x60) + 49.7/(24x60x60)
= .2422442 of a day error
in 4 years that would be .9689676
so when we add a day we have a difference of
1  .9689676 = .0310324 of a day off every 4 years
which is equal to 44 minutes and 41.2 seconds
BTW, the current rule is this:
If the year is divisible by 4, then you have a leap year UNLESS, the year was a century whose first 2 digits were not divisible by 4, then you did not have a leap year, otherwise the century would also be a leap year
Thus in 1900 we did not have a leap year
but in 2000 we did.
There is something called "Zeller's Congruence"
http://en.wikipedia.org/wiki/Zeller's_congruence
which uses the above rules to calculate what day of the week any particular date is. I used to assign my computer science class to make up a program than has as input the date of your birthday, and it was to tell you if that was a Monday, Tuesday, etc.
Answer This Question
Related Questions
 Trig  This problem is stumping me, can anyone help me? The Earth rotates every ...
 math  how do you convert weeks into minutes? my question is, convert 8 weeks ...
 math  use : .# x 6 = minutes I did try to do it but came up with numbers like 5...
 math  John has traveled from a distant planet to spend one earth year visiting ...
 astronomy/conversion  There are 365.25 days in a year, 24 hours in a day, 60 ...
 Astronomy/Conversion  There are 365.25 days in a year, 24 hours in a day, 60 ...
 physics  The furthest distance from the Sun to Earth is df=1.521E8 The shortest...
 Phyics Toughest question on earth  Estimate the time difference between the ...
 heeeeeeeeeeeelp physics vrey tough  Estimate the time difference between the ...
 Math  The number of daylight hours in a day is harmonic. Suppose that in a ...
More Related Questions