Explanation:

- 5 men can complete the work in 12 days. This means 1 man can do the job in 5 x 12 = 60 days.

- 6 women can complete the work in 20 days. This means 1 woman can do the job in 6 x 20 = 120 days.

- Together, 1 man and 1 woman will do the work faster. Their combined rate is 1/60 + 1/120 of the work per day.

- Find the LCM of 60 and 120, which is 120. Calculate: (2/120 + 1/120 = 3/120 = 1/40).

- Therefore, it will take 1 man and 1 woman 40 days to complete the work together.

- Answer: 40 days