Question

If 5 men or 9 woman can finish a work in 19 days . 3 men and 6 women will do the same work in how many days or how?

Answer 1

Let us assume the total work done by the men/women be 19×5×9 = 855 units.

Since 5 men do the work in 19 days, 1 man does 19×9 = 171 units in 19 days and 9 units in a day

Since 9 women do the work in 19 days, 1 woman does 19×5 = 95 units in 19 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 $\frac{855}{57} = \frac{19 \times 5 \times 9}{9 \times 3} = 15 \: days$ to complete the work.