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 it in 162 days. In how many days can 4 men, 12 women and 10 children together complete the piece of work? Choose the correct choice from the following choices.
A) 68 days
B) 81 days
C) 96 days
D) 124 days
E) 126 days
Explanation:   1 child’s 1 day’s work = 1/360 ×9 = 1/3240   10 children’s 1 day’s work = 1/324   1 man’s 1 day’s work = 1/72 × 18 = 1/1296   4 men’s 1 day’s work = 1 ×4/1296 = 1/324   12 women’s 1 day’s work = 1/162 given   Then, (4 men + 12 women + 10 children)’s 1 day’s work = 1/324 + 1/162 + 1/324   = 1/324 + 2/324 + 1/324 = 4/324 = 1/81   Therefore, the required No. of days = 81 days.   Answer: Option 81 days
<result>B</result>
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 it in 162 days. In how many days can 4 men, 12 women and 10 children together complete the piece of work?