Question

question ) 2 men and 5 women can do a piece of work in 4 days, while one man and one women
can finish it in 12 days. How long would it take for 1 man to do the work?
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Answer 1

18 days for one man to do the work...

2m + 5w =4 => 8m + 20w =1 eq 1

1m + 1w = 12 => 12m + 12w = 1 eq 2

8m + 20w = 12m + 12w

We will get, m = 2w

Substitute this in eq 1

2*2w + 5w = 4

4w + 5w = 4

9w = 4

1w = 36

So, 1m = 36/2 = 18 days...