Question

Three men paint a house in $20$ days. How many days do $30$ men take to do the same?

Answer 1

Finding the time taken by 30 men to paint house

Given that, $3$ men paint a house in $20$ days.

Now, we have to find the number of days, when $30$ men take to do the same work.

Let $x$be the no. of days by $30$ men.

As we know the number of men and number of days is indirectly proportional to each other. Because, if the number of men increases, the days will decrease.

$\Rightarrow$$\frac{20}{x}=\frac{30}{3}$

$\Rightarrow$$\frac{20}{x}=10$

$\Rightarrow$$x=\frac{20}{10}$

$\Rightarrow$$x=2$

Hence, $2$ days is required to do the same work by $30$ men.