1.

2 women and 5 men can together finish an embroidery work in 4 days while 3 womens abd 6 nens can finish in 3 days find the te talen by 1 women alone and by 1 men alone

Answer»

Let the work of women be x.
let the work of manln be y.

Therefore,
let both in one day be,
2/x + 5/y = 1/4............... (i)
condition 2:
3/x + 6/y = 1/3......... (ii)

let 1/x be a and 1/y be y.

from (I) and (ii),
(2a +5b =1/4) * 3
(3A + 6b = 1/3) * 2

6a +15b = 3/4. ( subtract (ii) from (i) )
6a +12b = 2/3

3b= 3/4 - 2/3
3b= 9-8/12
b= 1/12*3
b = 1/ 36
therefore,
1/y = b
y = 1/b
y = 36 days

2a + 5b = 1/4
2a + 5 / 1/36 = 1 /4
(72A + 5)/36=1/4
72a + 5 =9
72a = 4
a = 4/72
a = 1/18

1/x = a
x= 18


therefore work of one man is 36 days and work of one woman is 18 days.


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