Question

If 24 workers take to build d a wall in 15 days how many days it will take to build for 8 workers.

Answer 1

Given :

• 24 workers take to build d a wall in 15 days.

To find :

• Number of days it will take to build for 8 workers =?

Step-by-step explanation :

Let, total number of litres of paint x ltr.

Thus, our table look like,

Workers Days

24 x

8 15

Now, as the number of workers is increases.

The total number of days is increases.

∴ It is case of inverse variation :

➮ 24/8 = x/15

➮ 8 × x = 24 × 15

➮ 8x = 360

➮ x = 360 / 8

➮ x = 45.

Therefore, Number of days it will take to build for 8 workers = 45 day's.

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\:\:$

$\green{\underline \bold{Given :}}$

$\:\:$

• 24 workers take 15 days to build wall

$\:\:$

$\red{\underline \bold{To \: Find:}}$

$\:\:$

• Days required to build wall if the workers are 8

$\:\:$

$\large{\orange{\underline{\tt{Solution :-}}}}$

$\:\:$

Let the number of days 8 workers will take be 'd'

$\:\:$

$\sf \begin{tabular}{c | l}</p><p></p><p>Workers & Days \\</p><p></p><p>\cline{1-2}</p><p></p><p>24 & 15 \\</p><p></p><p>8 & d \\</p><p></p><p>\end{tabular}$

It is a case if inverse variation as when workers increases the days required to do work decreases.

$\:\:$

Hence,

$\:\:$

$\longmapsto \sf 24 \times 15 = 8 \times d$

$\:\:$

$\sf \longmapsto 360 = 8d$

$\:\:$

$\sf \longmapsto d = 45$

$\:\:$

Hence 8 workers will take 45 days to bulid the wall.

$\rule{200}5$