Question

If a farmer can plough 2 fields in 6 days, then how many fields can he plough in 12 days?

• A. 8 fields
• B. 4 fields
• C. 6 fields
• D. 3 fields

Answer 1

The correct option is B 4 fields

Given: In 6 days, 2 fields are ploughed.

We know that the number of fields ploughed will be more if the farmer works for more days.

$\text{So, Number of days}\left(x\right)\propto \text{Number of fields ploughed}\left(y\right)$

$\therefore \frac{x_1}{y_1}=\frac{x_2}{y_2}$

Here,
$x_1=6\text{days}$
$y_1=2\text{fields}$
$x_2=12\text{days}$
$y_2=\text{number of fields ploughed}\text{in 12 days}$

$\Rightarrow \frac{6}{2}=\frac{12}{y_2}$

$\Rightarrow y_2=\frac{12\times 2}{6}=4\text{fields}$

So, 4 fields can be ploughed in 12 days.