Arithmetic Aptitudes › Time and Work › Question #4630
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QIf 4 men and 6 women can complete a task in 8 days, and 3 men and 7 women can complete it in 10 days, how long will it take 10 women to complete the task?

ID: #4630 Time and Work 151 views
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#4630Q ID
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Time and WorkTopic
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  • A 40 ✔ ✖
  • B 30 ✔ ✖
  • C 35 ✔ ✖
  • D 25 ✔ ✖
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Explanation

If the work rate of one man is represented by 'x' and the work rate of one woman is represented by 'y',
the work rates of 4 men and 6 women can be represented as
4x + 6y = 1/8.
Similarly,
the work rates of 3 men and 7 women can be represented as
3x + 7y = 1/10.
Solving these equations,
we find that the work rate of one woman is 1/400 of the task per day.
Therefore, 10 women can complete the task in 40 days

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