Two men can do a piece of work in x days. But y women can do it in 3 days. Then the ratio of the work done by 1 man and 1 woman is:

3y : 2x 2x : 3y x : y 2y : 3x

3y : 2x

Total Work = No. of person × days Therefore, Total work ⇒      2M × x = yW × 3                 ⇒      (2x) M  =  (3y) W ⇒   M : W = 3y : 2x