## Chicken and the Egg – It was the Egg

Posted by Karl Sharman on January 28, 2011 – 1:11 pm

A farmer knows that 20 of his hens, housed in 3 coops, will hatch 30 eggs in 18 days. How long will it take 30 hens, housed in 4 coops to hatch the same number of eggs?

January 28th, 2011 at 1:54 pm

3o hens 30 eggs in 8 days.

January 28th, 2011 at 1:56 pm

12 Days.

I’m not sure the relevance of the number of coops, but here is my proof:

20 hens make 150% (30 eggs) in 18 days. Meaning 30 hens could make 100% (30 eggs) in [100/150]*18 = 12 days.

January 28th, 2011 at 4:25 pm

Perhaps if it takes 18 days for an egg to hatch, it doesn’t matter how many chickens, eggs or coops there are…… it will still take 18 days for the eggs to hatch (as long as there are enough chickens to sit on them!)

January 28th, 2011 at 8:33 pm

18 days because it doesn’t matter how many coups the hens are placed in. It only matter how many hens there are.

January 31st, 2011 at 7:10 am

Curtis and Prerana score here. Even cold hard maths cannot speed up a hatching egg!

January 31st, 2011 at 3:54 pm

Can I get some of those hens/eggs please Karl ? My hens waste time/money and take 21 days to hatch their eggs

Mmmm, imagining the extra hatchings I can get per year with that flock !

January 31st, 2011 at 3:55 pm

Also, I agree, it HAS to have been the Egg !

February 1st, 2011 at 6:18 am

12 days

February 1st, 2011 at 2:27 pm

Eketahuna – don’t you be counting your chickens before they’ve hatched…