Question

4 typists are employed to complete a work in 12 days. If two more typists are added, they will finish the same work in _______ days.

• A. 10
• B. 9
• C. 8
• D. 7

Answer 1

The correct option is C 8

Let they will take 𝑥 more days to finish the work.
As the number of typist increases, then the number of days to complete work decreases.
In the case of inverse proportion we take, $x_1\times y_1=x_2\times y_2$
Here, $x_1=4;y_1=12;x_2=4+2=6$ and $y_2=x$
$\therefore 4\times 12=6\times x$
$\Rightarrow x=\frac{4\times 12}{6}=8$
$\Rightarrow x=8$
∴ They will finish the same work in 8 days.