9 children can complete a piece of work in 360 days. 18 men can complete the same piece of work in 72 days and 12 women can complete the piece of work in 162 days. In how many days can 4 men, 12 women and 10 children together complete the piece of work ?

Explanation:

Clearly,

9×360 children = 18×72 men = 12×162 women

=> 45 children = 18 men

= 27 women

=> 5 children = 2 men = 3 women

Now, 4 men + 12 women + 10 children

= 4 men + 8 men + 4 men

= 16 men

∵ 18 men can complete the work in 72 days.

∴ 16 men can complete the work in = 18×72\16 = 81 days