Question

4 men can do the piece of work in 6 days while 3 woman can complete the same work in 16 days.In how many days 1 men and 2 women working together can complete the work?​

Answer 1

Answer:  12 days

Step-by-step explanation:

4 men do the work in 6 days

so 1 man does the same work in 24 days

similarly 1 woman can complete the work in 48 days

one day's work of 1 man and 1 woman = $\frac{1}{24}$ + $\frac{1}{48}$

one day's work of 1 man and 2 women = $\frac{1}{24}$ + $\frac{2}{48}$

                                                                 =  $\frac{4}{48}$

                                                                 = 1/12

therefore, 1 man and 2 women complete the work in 12 days.

Hope this helps!!