If it takes 20 farmers 36 days to harvest their fruits, how long would it take 30 farmers to harvest the same amount of fruit ?

24  days

Step-by-step explanation:

the information we have is:

Farmers         Days

   20         ⇒       36

   30         ⇒       x

the table describes that 20 farmers harvest the fruits in 36 days, and the x represents the quantity of days that will take 30 farmers to harvest the fruits.

since the amount of farmers and the amount of days are inversely proportional (if we have more farmers they will need less days, and the other way around) we use the inverse rule of three to solve this problem: multiply the quantities at the top of the table (20 and 36) and divide the result by the remaining amount (30).

we get the following:

x = 20 * 36 / 30

x = 720 / 30

x = 24

It will take 24 days for the 30 farmers to harvest the same amount of fruit