Question

12 men or 15 women can finish a work in 21 days.in how many days can the same work we finished by 6 men and 10 women

Answer 1

18 days required to complete same work by 6 men and 10 women.

Given: 12 men or 15 women can complete work in 21 days  

To find: Days it takes to complete same work by 6 men and 10 women

Solution:

12 men = 15 women ⇒ 1 man

Men = $\frac{15}{12}$ women

Men = $\frac{5}{4}$  

15 women can finish the work by 21 days

6 men = $6 \times \frac{5}{4}$  women

6 men = $\frac{15}{2}$

6 men and 10 women = $\frac{15}{2}+10$=$\frac{35}{2}$  

$\frac{35}{2}$ women can finish the work= $21 \times 15 \times \frac{2}{35}$  = 18 days.

Answer 2

Number of days required for 6 men and 10 women to finish the work is 18 days

Step-by-step explanation:

Given Data

12 men or 15 women complete a work in 21 days

To find - number of days required to finish the same work by 6 men and 10 women.

The work can be finished by 12 men in 21 days.

In 1 day they can complete 1/21 of the work

Then the amount of work done by 12 men can be written as

$\text {1 Man} = \frac{1}{21} \text {of the work}$

$12 Men = \frac{ \frac{1}{21}}{12} }$

The amount of work done by 12 men is $\frac{1}{252}$ of the work

The work can be finished by 15 women in 21 days.

In 1 day they can complete 1/21 of the work

Then the amount of work done by 15 women can be written as

$\text {1 Woman} = \frac{1}{21} \text {of the work}$

$15 \text{ women} = \frac{ \frac{1}{21}}{15} } \text {of the work}$

$\text {The amount of work done by 15 women in one day is} \frac{1}{315}$

The amount work done by 6 men and 10 women is in one day ,

$\text {6 men + 10 women} = [\frac{1}{252} \times 6] + [\frac{1}{315} \times 10]$

$\text {6 men + 10 women} = [\frac{1}{42} ] + [\frac{2}{63}]$

$\text {6 men + 10 women} = \frac{1}{18}$

Then number of days required to complete the work is,

$\frac{1}{18} \text{ of the work} = \text{ one day}$  

$\frac{18}{18} \text{ of the work} = \text{ one day} \times 18$

                      = 18 days

Therefore 18 days are required to finish the work by 6 men and 10 women, when work together.

To Learn more ...

1)A and B together can do a piece of work 15 days.If A's one day work is 3/5 times the one day's work of B, find in how many days can each do the work.

https://brainly.in/question/4072166