Question

16 men or 28 women can do a work in 40 days. in how many days will 24 men and 14 women complete the same work?solve this inverse propartion

Answer 1

Answer:

34.5454... is the answer of this question

Answer 2

24 men and 14 women complete the same work in 20 days.

Step-by-step explanation:

Since we have given that

Number of men = 16

Number of women = 28

Number of days = 40

If there are 24 men and 14 women , the number of days would be

$\dfrac{40}{\dfrac{24}{16}+\dfrac{14}{28}}\\\\=\dfrac{40}{\dfrac{6}{4}+\dfrac{2}{4}}\\\\=\dfrac{40}{\dfrac{3}{2}+\dfrac{1}{2}}\\\\=\dfrac{40}{\dfrac{3+1}{2}}\\\\=\dfrac{40}{\dfrac{4}{2}}\\\\=\dfrac{40}{2}\\\\=20$

Hence, 24 men and 14 women complete the same work in 20 days.

# learn more:

If 16 men or 28 women can do a work in 40 days in how many days will 24 men and 14 women complete the same work​

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