Question

It is estimated that 15 workers can build a tower in 20 days. If only 10 workers are engaged for the job, then in how many days will the tower be built?

• A. 28 days
• B. 35 days
• C. 25 days
• D. 30 days

Answer 1

The correct option is D 30 days

Given,
15 workers can build a tower in 20 days.

We know that lesser is the number of workers, more will be the number of days taken to build the tower.

$\text{So, Number of workers}\left(x\right)\propto \frac{1}{\text{Days}\left(y\right)}$
$\therefore \frac{x_1}{x_2}=\frac{y_2}{y_1}$

Given,
$x_1=15workers$
$y_1=20days$
$x_2=10workers$
$\text{and}{y}_2=\text{Number of days taken by 10 workers}$
$\Rightarrow y_2=\frac{x_1\times y_1}{x_2}$
$\Rightarrow y_2=\frac{15\times 20}{10}=30days$

Hence, 10 workers will take 30 days to build the tower.