Question

1. If 8 men can do a certain job in 12 days, how many men will be required to do the same job in 16 days?​

Answer 1

Step-by-step explanation:

6 men can do the work in 16 days

Answer 2

Answer:

The number of men required to do the same job in 16 days = 6

Step-by-step explanation:

Given that,

8 men can do a certain job in 12 days.

Let us assume 'x' men are required to do the same job in 16 days.

We know that number of men required and the number of days to complete the work are inversely proportional to each other.

Number of men required ∝ 1 / Number of days to complete the work

Let the number of days to complete certain job = d

Number of men required to complete the job = m

d ∝ 1 / m

So, $d_{1}$ × $m_{1}$ = $d_{2}$ × $m_{2}$ ----- (1)

Here,  $d_{1}$ = 8

$m_{1}$ = 12

$d_{2}$ = x

$m_{2}$ = 16

By substituting the values in equation (1), we get

8 × 12 = x × 16

96 = x × 16

x = 96 ÷ 16

x = 6

Number of men required for the job = 6

Therefore, the number of men required to do the same job in 16 days is 6.

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