Question

if 5 men and 9 women can finish a work in 20 days. in how many days 3 men and 6 women do the same work?​

Answer 1

Answer:

Answer is 15 days.

Step-by-step explanation:

Let us assume the total work done by the men/women be 20*5*9 = 900 units.

Since 5 men do the work in 20 days, 1 man does 20*9 = 180 units in 20 days and 9 units in a day

Since 9 women do the work in 20 days, 1 woman does 20*5 = 100 units in 20 days and 5 units in a day

Now, 3 men and 6 women would do, 3*9 + 6*5 or 57 units of the work in a day.

Therefore, it will take 3 men and 6 women a total of 900/57

=20∗5∗9/20∗3

= 15 days

Therefore, 3 men and 6 women take 15 days to do the same work.