Question

2 men or 4 women can finish a work in 10 days how long will 6 men and 8 women take to finish the same work
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Answer 1

say , work done by 1 woman per day = x

and " by 1 man per day = y

In question

2× 10 ×y = 4× 10×x

20y= 40x

Total work done can be 20y or 40x

y = 2x

since I am substituting x with y

let d be th no of days to finish work

Then

(6×y + 8×x ) × d= 40x

(6 × 2x + 8× x) × d = 40x

20x ×d =40x

d = 40/20 = 2

:. Total no of days taken to complete is 2

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Answer 2

Answer:

QUESTION:-

2 men or 4 women can finish a work in 10 days how long will 6 men and 8 women take to finish the same work.

SOLUTION:-

2 men or 4 women can finish a work in 10 days = 10 days

:. Time 6 men and 8 women take to finish the same work = 1 man can finish a work in 20 days & a man can finish his 1 in 1 day.

20

4 women can finish a work in 10 days. So, 1 women can finish the same work 1 of work in 1 day. 40

6 man can finish 1*6 = 6 of work in 1 day.

20 20

8 women can finish 1*8 = 8 = 1 of work in 1 day. 20 40 5

6 men and women together can finish= 6 + 1 20

5

6 men and women together can finish= (6 + 4)

20

6 men and women together can finish= 10

20

6 men and women together can finish= 1 in 1 day 2

6 men and women together can finish entire work in 2 days.

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