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If 5 women or 8 girls can do a work in 84 days. In how many days can 10 women and 5 girls can do the same work ?
- a)31 days
- b)30 days
- c)33 days
- d)32 days
Correct answer is option 'D'. Can you explain this answer?
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If 5 women or 8 girls can do a work in 84 days. In how many days can 1...
Given:
5 women or 8 girls can do a work in 84 days.
To find:
In how many days can 10 women and 5 girls can do the same work?
Solution:
Let the work be W.
According to the given information,
5 women can do the work in 84 days
Therefore,
1 woman's 1 day work = W/(5 × 84)
8 girls can do the same work in 84 days
Therefore,
1 girl's 1 day work = W/(8 × 84)
Now we need to find the number of days required to complete the work when 10 women and 5 girls work together.
Let the number of days required be 'd'.
According to the question,
10 women and 5 girls can do the same work
Therefore,
10 × (1 woman's 1 day work) + 5 × (1 girl's 1 day work) = W
⇒ 10 × (W/(5 × 84)) + 5 × (W/(8 × 84)) = W
Simplifying this, we get
d = 32 days
Therefore, the correct answer is option D, 32 days.
5 women or 8 girls can do a work in 84 days.
To find:
In how many days can 10 women and 5 girls can do the same work?
Solution:
Let the work be W.
According to the given information,
5 women can do the work in 84 days
Therefore,
1 woman's 1 day work = W/(5 × 84)
8 girls can do the same work in 84 days
Therefore,
1 girl's 1 day work = W/(8 × 84)
Now we need to find the number of days required to complete the work when 10 women and 5 girls work together.
Let the number of days required be 'd'.
According to the question,
10 women and 5 girls can do the same work
Therefore,
10 × (1 woman's 1 day work) + 5 × (1 girl's 1 day work) = W
⇒ 10 × (W/(5 × 84)) + 5 × (W/(8 × 84)) = W
Simplifying this, we get
d = 32 days
Therefore, the correct answer is option D, 32 days.
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Question Description
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