Question

5 women can do work as done by 3 men. 15 men and 15 women can complete a certain work in 15 days . Than how many women can complete a work in 10 days ?

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Answer 1

Answer:

60 women were required to complete the work in 10 days .

Step-by-step explanation:

Given as :

5 women can do work as done by 3 men

Let The work done by women = w

Let The work done by men = m

So, 5 w = 3 m

Or, m = $\dfrac{5}{3}$ w            .......A

And

15 men and 15 women can complete a certain work in 15 days

i.e 15 m + 15 w = $\dfrac{1}{15}$

Or, m + w = $\dfrac{1}{225}$

So, from eq A

Or, $\dfrac{5}{3}$ w + w = $\dfrac{1}{225}$

Or, $\dfrac{5 w + 3 w}{3}$ = $\dfrac{1}{225}$

Or, $\dfrac{8 w}{3}$ = $\dfrac{1}{225}$

Or, 8 w = $\dfrac{1}{75}$

So work done 1 women is in = $\dfrac{1}{600}$

i.e 1 women can complete work in 600 days

Now, ∵ In 600 days , number of women required to complete work = 1

So, In 1 day , number of women required to complete work = $\dfrac{1}{600}$

∴ In 10 days , number of women required to complete work =  $\dfrac{1}{600}$ × 10

so, In 10 days number of women required to complete the work = 60 women

Hence, 60 women were required to complete the work in 10 days . Answer