Question

4 men can do a work in 5 days and 6 women can do the work in 4 days if 5 men and 6 women work together they will complete work in how many days

Answer 1

Work done by a woman in one day :

1/4 => work done by 6 women in a day.

Work done by one woman is :

1/4 × 1/6 = 1/24

Work done by four men in a day :

1/5

Work done by one man in a day is :

1/5 × 1/4 = 1/20

Five men and six women working together

Work done by five men = 1/20 × 5 = 5/20 = 1/4

Work done by six women in a day = 1/4

Since they work together, the total work done in a day is :

1/4 + 1/4 = 2/4

= 1/2

We get the reciprocal of this.

2/1 = 2

They will therefore take 2 days.

Answer 2

$your \: answer$




ʷᵒʳᵏ ᵈᵒⁿᵉ ᵇʸ ᵃ ʷᵒᵐᵃⁿ ⁱⁿ ᵒⁿᵉ ᵈᵃʸ :

①/④ => ʷᵒʳᵏ ᵈᵒⁿᵉ ᵇʸ ⑥ ʷᵒᵐᵉⁿ ⁱⁿ ᵃ ᵈᵃʸ. 

ʷᵒʳᵏ ᵈᵒⁿᵉ ᵇʸ ᵒⁿᵉ ʷᵒᵐᵃⁿ ⁱˢ :

①/④ × ①/⑥ = ①/②④

ʷᵒʳᵏ ᵈᵒⁿᵉ ᵇʸ ᶠᵒᵘʳ ᵐᵉⁿ ⁱⁿ ᵃ ᵈᵃʸ :

①/⑤

ʷᵒʳᵏ ᵈᵒⁿᵉ ᵇʸ ᵒⁿᵉ ᵐᵃⁿ ⁱⁿ ᵃ ᵈᵃʸ ⁱˢ :

①/⑤ × ①/④ = ①/②⓪

ᶠⁱᵛᵉ ᵐᵉⁿ ᵃⁿᵈ ˢⁱˣ ʷᵒᵐᵉⁿ ʷᵒʳᵏⁱⁿᵍ ᵗᵒᵍᵉᵗʰᵉʳ 

ʷᵒʳᵏ ᵈᵒⁿᵉ ᵇʸ ᶠⁱᵛᵉ ᵐᵉⁿ = ①/②⓪ × ⑤ = ⑤/②⓪ = ①/④

ʷᵒʳᵏ ᵈᵒⁿᵉ ᵇʸ ˢⁱˣ ʷᵒᵐᵉⁿ ⁱⁿ ᵃ ᵈᵃʸ = ①/④

ˢⁱⁿᶜᵉ ᵗʰᵉʸ ʷᵒʳᵏ ᵗᵒᵍᵉᵗʰᵉʳ, ᵗʰᵉ ᵗᵒᵗᵃˡ ʷᵒʳᵏ ᵈᵒⁿᵉ ⁱⁿ ᵃ ᵈᵃʸ ⁱˢ :

①/④ + ①/④ = ②/④

= ①/②

ʷᵉ ᵍᵉᵗ ᵗʰᵉ ʳᵉᶜⁱᵖʳᵒᶜᵃˡ ᵒᶠ ᵗʰⁱˢ. 

②/① = ②

ᵗʰᵉʸ ʷⁱˡˡ ᵗʰᵉʳᵉᶠᵒʳᵉ ᵗᵃᵏᵉ ② ᵈᵃʸˢ.



$thanks$