Question

Three persons can build a small house in $8$ days. To build the same house in $6$ days, how many persons are required?

Answer 1

Given,

$3$ persons can build a house in $8$ days

Thereby a total of $(3\times 8)$ man days of work is done in building the small house.

Let 'x' men are required to build the same house in 6 days.

Hence $6x$ man days of work will be done but since the same small house is being built.

Thereby,

$\Rightarrow 3\times 8=6x$

$\frac{3\times 8}{6}=x$

$x=4$ persons

Hence, the answer is $4.$