6 men can do a piece of work in 36 days by working 10 hrs a day. But 24 women can do it in 54 days by working 12 hrs a day. Then the ratio of the work done by 1 man and 1 woman is:

36 : 5

Total Work = No. of person × days

Therefore,

Total work ⇒      6M × 36 x 10  = 24W × 54 x 12

                ⇒            M : W       =  \(\frac{24\; \times\; 54\; \times\; 12}{6\; \times\; 36\; \times\; 10}\)

⇒   M : W = 36 : 5