Can anyone figure out this word problem?

Question

A billionaire offers to give you $3:6 billion if
you will count out the amount in $1 bills or
a lump sum of $6000. Assume that you can
count at an average rate of one bill per second,
and be sure to allow for the fact that you need
about 10 hours a day for sleeping and eating.
Which offer should you accept?
In order to answer this, how long will it take
you to count out the $3:6 billion? Answer in
units of years.

Answer 1

3 600 000 000 sec * (1 hour / 3600 sec) * (1 day counting / 14 hours) * (1 year / 365.25 days) = 195.561 years

(i used 365.25 for days in a year to average out leap years)

so if you are a going to live 195 plus years and have nothing better to do with your time take the 3.6 billion. otherwise the 6 grand is a great offer.

Answer 2

Divide 3.6 billion by the number of bills you can count per day; 14hrs/day with 3600sec/hr = 50400 bills/day.

Divide that number by 365 to get the answer in years.

You should be able to easily see which one is the better deal.

Answer 3

3600 x 14 x 365.25 = 18408600 bills per year
at 18 million/year, get 3.6 billion in 200 years.
6 grand looks better to me.

Answer 4

Assuming 10 hours per day sleeping and eating allows 14 hours per day for counting.

1 bill per second ( b/s ) x 3600 = 3600 bills per hour.
3600 bills per hour x 14 hours = 50,400 bills per day
50,400 bills per day x 365 days per year = 18,396,000 per year.

3,600,000,000 bills total at 18,396,000 bills per year:

3,600,000,000/18,396,000 = 195.69 years

You should accept the lump sum, you would die long before you finished counting.

Answer 5

You would never finish. It would take about 25 lifetimes to count all of the money. Take the $6000.