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4 women and 5 men working together can do 3 times the work done by 2 women and one man together. Calculate the work of a man to that of a woman.
  • a)
    1:1
  • b)
    3:2
  • c)
    1:2
  • d)
    2:1
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
4 women and 5 men working together can do 3 times the work done by 2 w...
Given Information:
4 women + 5 men = 3(2 women + 1 man)

Let's calculate the work done by each group:

Work done by 4 women and 5 men:
Let the work done by 1 woman in a day be Ww and the work done by 1 man in a day be Wm.
4Ww + 5Wm = 3(2Ww + Wm)
4Ww + 5Wm = 6Ww + 3Wm
5Wm - 3Wm = 6Ww - 4Ww
2Wm = 2Ww
Wm = Ww

Therefore, the work done by a man is equal to the work done by a woman.
This can also be stated as the work ratio of a man to a woman is 1:1.
Therefore, the correct answer is option a) 1:1.
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Community Answer
4 women and 5 men working together can do 3 times the work done by 2 w...
Given
4w + 5m = 3*(2w + m)
i.e. 2w = 2m
so the ratio of work done by man to woman is 1:1
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4 women and 5 men working together can do 3 times the work done by 2 women and one man together. Calculate the work of a man to that of a woman.a)1:1b)3:2c)1:2d)2:1Correct answer is option 'A'. Can you explain this answer?
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