2 men and 5 women can be a work in 12 days. 5 men and 2 women can do that work in 9 days. Only 3 women can finish the same work in
according to the question
( 2m + 5w)12 = (5m +2w) 9
24m + 60w = 45m + 18w
$$ \frac{w}{m} = \frac{21}{42} = \frac{1}{2} $$
total work done = $$ ( 2 \times 2 + 5 \times 1 ) 12Â
             = $$ 9 \times 12 = 108 $$
3 women can finish the same work in $$ 108 = 3 \times 1 \times t $$
solving t =36 days               Â
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