Question

Eight men nine women and 12 boys can complete a piece of work together in four days while four men and three women can complete the work in 16 days six woman and for boys can complete the same work together in 16 days find the number of days taken by four men and eight boys to complete the work together

Answer 1

Answer:

They will take 8.33 days to complete the work

Step-by-step explanation:

according to question:

8x+9y+12z=1/4______(1)

4x+3y=1/16_____(2)

6y+4z=1/16______(3)

to find: 4x+8z=?

from equation(1) : 4z=1/16 - 6y

multiplying the whole equation by 3

12z=3/16 - 18y________(4)

from equation(2) : 4x=1/16 - 3y

multiplying the whole equation by 2

8x=2/16 - 6y_______(5)

putting equation (4) and (5) in equation (1)

2/16 - 6y + 9y 3/16 - 18y = 1/4

5/16 - 15y = 1/4

5/16 - 1/4 = 15y

y= 1/250

putting value of y in equation (4)

4z = 9/250

8z = 18/250

putting value of y in equation (5)

4x = 12/250

this implies 4x + 8z = 18/250 + 12/250

4x +8z = 3/25

so, number of days = 25/3

= 8.33 days

Hope it helps!!

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