Question

2 men and 5 women can do a piece of work in 4 days while 1 men and 1 women can finish it in 12 days how long will it take for 1 men to do the work

Answer 1

Answer:18 days

Step-by-step explanation:

Let one day work of a man and woman be x and y respectively.

2x+5y=1/4

(1x+1y=1/12)×5

=5x+5y=5/12

5x+5y-(2x+5y)=5/12-1/4

5x+5y-2x-5y=(5-3)/12

3x=2/12

x=2/36

x=1/18

Time take by a man to complete the work=1/x

=1/(1/18)

=18 days