8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. In how many days can 10 men, 4 women and 18 children together complete the piece of work? Options
A) 5 days B) 15 days C) 28 days D) 6 days E) 7 days
Explanation:   1 man’s 1 day’s work = 1/8 × 12 = 1/96   10 men’s 1 day’s work = 1 × 10/96 = 5/48   1 woman’s 1 day’s work = 1/192   4 women’s 1 day’s work = 1/192 × 4 = 1/48   1 child’s 1 day’s work = 1/240   18 children’s 1 day’s work = 3/40   Therefore, (10 men + 4 women + 18 children)’s 1 day’s work = 5/48 + 1/48 + 3/40   = 1/5   The required No. of days = 5 days   5 daysnswer: Option 5 days
<result>A</result>
8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. In how many days can 10 men, 4 women and 18 children together complete the piece of work?