Question

if 12 men or 15 women can finish a piece in 66 days , how long will 24 men and 3 women take to finish the work ?

Answer 1

Answer:

Step-by-step explanation:

Ans: 44/9.days.

Answer 2

$\huge{ \: \: \: \: \: \: { \blue{ \mathbb{ĀNSWĒR}}}}$


Let one men can do work in' p' Days

so , according to question

$\frac{12}{p} = \frac{1}{66}$
hence ,

P= 792 days.


similarly , Let one women can do work in 'q' days

so according to question


$\frac{15}{q} = \frac{1}{66}$

q= 990 days.


Now , in question it is given that 12 men or 15 women

so, we can equate separately


Now ,


Let 2 4 men and 3 women do finish work in 'r' days

therefore,

$\frac{24}{p} + \frac{3}{q} = \frac{1}{r} \\ \\ \\ = \frac{24}{729} + \frac{3}{990} = \frac{1}{r} \\ = \frac{1}{33} + \frac{1}{330} = \frac{1}{r} \\ \\ = \ \frac{10 + 1}{330} = \frac{1}{r} \\ \\ = \frac{11}{330} = \frac{1}{r} \\ \\ =r = 30$


Hence, 24 men and 3 women can complete work in 30 days


❤______ThankS :)


#HarYanvi ThinkeR ♠ Nishu ❤