Question

9. अगर 5 महिलाएं या 8 लड़कियां 84 दिनों में एक काम कर सकती हैं । 10 महिलाएंऔर 5 लड़कियां एक ही काम को कितने दिनों में कर सकती हैं? ​

Answer 1

Given:

अगर 5 महिलाएं या 8 लड़कियां 84 दिनों में एक काम कर सकती हैं । 10 महिलाएंऔर 5 लड़कियां एक ही काम को कितने दिनों में कर सकती हैं? ​

If 5 women or 8 girls can do a piece of work in 84 days. In how many days can 10 women and 5 girls do the same work?

To find:

10 महिलाएंऔर 5 लड़कियां एक ही काम को कितने दिनों में कर सकती हैं? ​

Solution:

Since 5 women or 8 girls can do the same piece of work in 84 days, so we can say

5 W = 8G

⇒ W = $\frac{8}{5}$ G

∴ $10W + 5G = (10 \times \frac{8}{5} G) + 5 G = 16 G + 5 G = 21G$

We know,

$\boxed{\bold{M_1 \times D_1 = M_2\times D_2}}$

Here we have,

M₁ = 8G

D₁ = 84

M₂ = 21G

D₂ = required no. of days for 10W + 5G

Now, by using the above formula, we get

$8G \times 84 = 21G \times D_2$

$\implies 8 \times 84 = 21 \times D_2$

$\implies D _ 2 = 8 \times 4$

$\implies \bold{D _ 2 = 32\:days}$

Thus, 10 महिलाएंऔर 5 लड़कियां एक ही काम को 32 दिनों में कर सकती हैं|

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