2420.11 – Hen and a Half

Tags:Problem Set 2Algebra/TrigonometryAlgebra Prep

If a hen and a half lays an egg and a half in a day and a half, how long will it take ten hens to lay ten eggs? (This is a famous old problem.)


Given: hens 1½, days 1½, eggs 1½.

Doubling the hens but not the time: hens 3, days 1½, eggs 3.

Therefore: hens 10, days 1½, eggs 10.

Each hen lays one egg every 1½ days and the answer is 1½ days.