Question

6 men or 10 women can do a peice of work in 12 day in how many days can the same work be done by 3men and 5women

Answer 1

24 days..........hope this will help u

Answer 2

6 men or 10 women can do a peice of work in 12 days

let's take the capacity of women as Y and men as X

so, basically,

6X or 10Y = 12

I'll take me, you can take anything you want , and we will have to take the process of inverse proportion.

Let A be the number of workers
Let B be the number of days

A-1 is 6X
A-2 is 3X + 5Y

B-1 is 12
B-2 is we have to find

According to inverse proportion,

A-1 × B-1 = A-2 × B-2

B-2 = ( A-1 × B-1 ) ÷ A-2

B-2 = ( 6X × 12 ) ÷ 3x + 5y

We know,

6X = 12

X = 2

Let's substitute,

( 6 × 2 × 12 ) ÷ 3 × 2 + 5y

( 6 × 2 × 12 ) ÷ 6 + 5Y

( 24 ) ÷ 5Y

We know,

10Y = 12

Y = 12 ÷ 10

Y = 6 ÷ 5

( 24 ) ÷ ( 5 ) ( 6 ÷ 5 )

( 24 ) ÷ ( 6 )

=> 4 days is the answern