If 15 farmers can cultivate 18 bighas of land in 5 days, let us determine by using theory of variation the number of days required by 10 farmers to cultivate 12 bighas of land.

Given:

15 farmers can cultivate 18 bighas of land in 5 days.

To do:

We have to determine by using theory of variation the number of days required by 10 farmers to cultivate 12 bighas of land. Solution:

15 farmers can cultivate 18 bighas of land in 5 days.

Let number of farmers be F, area of land cultivated be L and number of days be D.

Number of farmers required is directly proportional to the area of land cultivated and inversely proportional to the number of days required to complete the task.

Therefore,

$F \propto \frac{L}{D}$

This implies,

$F = k \frac{L}{D}$ where $k$ is the variability constant.

In the first situation,

$15 = k(\frac{18}{5})$

$k=\frac{15\times5}{18}$

In the second situation,

$10=k(\frac{12}{D})$

$D=\frac{75}{18}\times\frac{12}{10}$

$D=5$

Therefore, 10 farmers require 5 days to cultivate 12 bighas of land.

Tutorialspoint

Updated on: 10-Oct-2022

203 Views

Kickstart Your Career

Get certified by completing the course

Get Started