Question

2 men or 3 woman can do a piece of work in 23 days in how many days 5 men 4 woman can finish the work?​

Answer 1

Answer:

6 days.

Step-by-step explanation:

2 Men completes work in 23 days

so 2 Men 1 day work is 1/23 days

and 1 Men 1 day work is 1/(23×2) days which is efficiency of a 1 Men.

similarly 1 women 1 day work is 1/ (23 ×3) and it is efficiency of 1 women.

and therefore

5Men+ 4 women 1 day work is

5 × efficiency of 1 Men + 4 × efficiency of 1 women

5× 1/(23× 2) + 4 × 1/ ( 23 × 3 )

by solving above we get

1/6

it is 1 day work of 5 men + 4 women

so total number of days required is reciprocal of 1/6 that is 6 days.