The Hen and the Egg

A hen and a half lay one and a half eggs in one and a half-day.

How many eggs does one hen lay in one day?

Also, find how many hens will lay one dozen eggs in 6 days? 

Solution

According to the qs,

1.5 hens lay 1.5 eggs in 1.5 days.

Let us consider an equation :

1½ hens × 1½ days × r = 1½ eggs [ r= Rate]

3/2 hens * 3/2 days * r = 3/2 eggs

Multiplying both sides by 2/3

1 hen * 3/2 days * rate = 1 egg

Solving the equation and multiplying it by 2/3, we get

r = 2/3 of an egg per day.

Thus, one hen lays 2/3 of an egg in one day.

 

Now we know the rate of laying eggs per day. 

To find out , Hens be H , eggs = 12 , days = 6 

H hens × 6 days × 2/3 = 12 eggs

Solving this equation, 

H= 3 

Thus, 3 hens to produce 12 eggs in 6 days.