Solution
Numbers counted per minute = 200
Time needed for 1,000,000,000 numbers:
Minutes required = 1,000,000,000 / 200
= 5,000,000 minutes
Convert minutes:
5,000,000 minutes = 5,000,000 / 60 = 83,333.33 hours
= 3,472.22 days
Now include days off:
From 1 Jan 2001 to finish time → during this period, leap years add 1 day off every 4 years.
Total days ≈ 3472 + 1 leap day = 3473 days
Convert 3473 days to years:
3473 days = 9 years + remaining days
9 years = 3287 days
Remaining = 3473 – 3287 = 186 days
Now convert the decimal part of hours:
0.22×24 ≈ 5.20 hours
0.20×60 ≈ 20 minutes
Final answer = 9 years, 187 days, 5 hours, 20 minutes