Question

A man can do a work in 3 days alone and a women can do the same work in 9 days alone. if both are work together in how many days they finished the same work

Answer 1

maybe in 6 day they will complete the work as an average.
on second thought it depends up on the work needed to complete in a specific period.

Answer 2

Answer:

9/4 days.

Step-by-step explanation:

Given,

Man can do a work in 3 days alone,

⇒ One day work of the man when he works alone = $\frac{1}{3}$

Similarly,

Women can do the same work in 9 days alone.

Her one day work when she works alone = $\frac{1}{9}$

Total work done by them in one day = $\frac{1}{3}+\frac{1}{9}=\frac{3+1}{9}=\frac{4}{9}$

Thus, the time taken by them when they work together

$=\frac{1}{\text{Total work done by them in one day}}$

$=\frac{1}{4/9}$

$=\frac{9}{4}\text{ days}$