Question

8 men can complete the electric fitting in 9 days how many days will it take if 12 men do the job

Answer 1

Men Days
8 9 (inverse variation )
12 x
8×9=12×x
72 = 12x
72/12=x
6=x
Therefore,6days are require

Answer 2

Answer:

6 days.

Step-by-Step Explanation:

→ 8 men can complete the electric fitting in a building in 9 days. So, $8 \ratio 9$

→ 12 men can do the job in $a$ days. So, $12 \ratio a$

We get,

$\therefore 8 \ratio 9 \ratio \ratio 12 \ratio a$

If the number of men will increase, So, the number of days for the job will decrease. Hence, here is inverse proportion.

Since in inversely proportional term, where x and y has two variations,

$\it x_1 x_2 = y_1 y_2 = k$

Where, k is a constant term.

Here,

x :- $x_1 = 8, \: x_2 = 9$

y :- $y_1 = 12, \: y_2 = a$

Therefore,

$\therefore \rm 8 \times 9 = 12 \times a$

$\implies \rm 72 = 12a$

$\implies \rm a = \frac{72}{12}$

$\implies \rm a = \cancel{\frac{72}{12}}$

$\implies \rm \bf a = 6$

Hence, 12 men can do that job in 6 days.