Question

Assume that 10 men can do a work in 5 days, while 25 women can do the same work in 10 days If 15 men and 20 women are doing the task, how much time will it take to complete the work ?​

Answer 1

Answer:

12 day please mark me as brainliest

Answer 2

Given:

No. of days 10 men can do a work = 5

No. of days 25 women can do the work = 10

To find:

The no. of days taken to complete the work by 15 men and 20 women.

Solution:

$5$ days are required for $10$ men to complete the work.

No. of women required to complete the work in $10$ days = $25$

No. of women required to complete the work in $5$ days = $\frac{25*10}{5}=50$

Hence, 50 women can complete work in 5 days which 10 men take.

∴ $10men=50women$

$1man=5women$

We have 15 men and 20 women.

$20=5*4$

It has been calculated that,

$5women=1man$

Multiplying the above by 4,

$20women=4men$

$15men+20women=15men+4men=19men$

If 10 men can complete the work in 5 days, then 19 men can complete the work in $\frac{5*10}{19}=\frac{50}{19}$ days

Hence, 15 men and 20 women can do the task in $\frac{50}{19}$ days.

15 men and 20 women can do the task in $\frac{50}{19}$ days.