Question

If 12 typists can type 1560 pages in 2 days, then how many typists are required if the task has to be done in a single day only?

• A. 24
• B. 28
• C. 25
• D. 26

Answer 1

The correct option is A 24

Given,
In 2 days, 12 typists can type a number of pages.

We know that if the time allowed is less, then the number of typists required is more.

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

Given,
$x_1=2days$
$y_1=12typists$
$x_2=1day$
$\text{and}{y}_2=\text{Number of typists required}$
$\Rightarrow y_2=\frac{x_1\times y_1}{x_2}$
$\Rightarrow y_2=\frac{2\times 12}{1}=24$

Therefore, the number of typists required is 24.