Question : 4 men, working together, can finish a work in 18 days. How many more men are required to finish the same work in 12 days?
Option 1: 4
Option 2: 3
Option 3: 2
Option 4: 6
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Correct Answer: 2
Solution :
We know that if the number of days decreases, the number of men required to finish a work will increase.
$\text{Number of days}(x)∝\frac{1}{\text{Number of men}(y)}$
$\therefore$ $\frac{x{_1}}{x{_2}} = \frac{y{_2}}{y{_1}}$
Given:
$x{_1} = 18$; $y{_1} = 4$ and $x{_2} = 12$
⇒ $\frac{18}{12} = \frac{y{_2}}{4}$
$\therefore y{_2} = 6$
$\therefore$ Number of more men required = 6 – 4 = 2
Hence, the correct answer is 2.
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