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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 woman.
  • a)
    1:2
  • b)
    2:1
  • c)
    1:1
  • d)
    3:2
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
4 women and 5 men working together can do 3 times the work done by 2 w...
4w + 5m = 3*(2w + m)
i.e. 2w = 2m
so ratio of work done by man to woman is 1:1
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Most Upvoted Answer
4 women and 5 men working together can do 3 times the work done by 2 w...
Let's assume that the work done by one woman in one day is represented by Ww and the work done by one man in one day is represented by Wm.

According to the given information, 4 women and 5 men working together can do 3 times the work done by 2 women and 1 man together.

So, the work done by 4 women and 5 men in one day is:
4Ww + 5Wm

And the work done by 2 women and 1 man in one day is:
2Ww + 1Wm

Given that 4Ww + 5Wm = 3(2Ww + 1Wm)

Simplifying this equation, we get:
4Ww + 5Wm = 6Ww + 3Wm

Rearranging the terms, we get:
4Ww - 6Ww = 3Wm - 5Wm

Simplifying further, we get:
-2Ww = -2Wm

Dividing both sides of the equation by -2, we get:
Ww = Wm

This means that the work done by a woman is equal to the work done by a man.

Therefore, the ratio of the work done by a man to that of a woman is 1:1, which corresponds to option C.
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Community Answer
4 women and 5 men working together can do 3 times the work done by 2 w...
4w + 5m = 3*(2w + m)
i.e. 2w = 2m
so 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 woman.a)1:2b)2:1c)1:1d)3:2e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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