Question

6 men complete the electric fitting in a building in 7 days.. How many days will it take 21 men to do the job ?​

Answer 1

Answer:

2 days.

Step-by-Step Explanation:

→ 6 men can complete the electric fitting in a building in 7 days. So, $6 \ratio 7$

→ 21 men can do the job in $a$ days. So, $21 \ratio a$

We get,

$\therefore 6 \ratio 7 \ratio \ratio 21 \ratio a$

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 :- $x_1 = 6, \: x_2 = 7$

y :- $y_1 = 21, \: y_2 = a$

Therefore,

$\therefore \rm 6 \times 7 = 21 \times a$

$\implies \rm 42 = 21a$

$\implies \rm a = \frac{42}{21}$

$\implies \rm a = \cancel{\frac{42}{21}}$

$\implies \rm \bf a = 2$

Hence, 21 men can do that job in 2 days.

Answer 2

Given:

• 6 men complete the electric fitting in a building in 7 days.

To Find:

• How many days will it take 21 men to do the job ?

Solution:

♪Let the number of days taken by 21 men be x

✪ As the number of men will increase the time period to do the work will be shorter so these ratios are in inverse proportion !

→ 6 : 7 = 21 : x

→ 6 × 7 = 21 x

→ x = 6 × 7 / 21

→ x = 2days

Hence:

• 21 men will take 2 days to complete the work!