3 women and 5 men finsh work in 1/4 daus ; 2 women and 4 men finsh work in 1/3 find 1 men work and 1 women

Answer 1

Let

one woman takes x days to finish the work.

And one man takes y days to finish the work.

so

3/ x + 5/y = 4

3y +5x = 4xy ----------- (1)

then

2/x + 4/y = 3

2y+4x =3xy --------------(2)

[ 3y +5x=4xy] * 2 => 6y +10x =8xy

[2y +4x=3xy ] * -3 => -6y-12x =-9xy

____________________

-2x = -xy

2 =y

2y +4x =3xy

2(2) +4x =3x(2)

4+4x =6x

4 =2x

2 = x

so 1 man take 2 day s

and 1 woman take 2 days to complete this work