A man, a woman and a boy can together complete a piece of work in 3 days. If a man alone can do it in 6 days and a boy alone in 18 days, how long will a woman take to complete the work?
Choose the correct option:
A) 9 days  B) 21 days  C) 24 days  D) 27 days  E) 28 days
Explanation:   (1 Man + 1 woman + 1 boy)’s 1day’s work = 1/3   1 man’s 1 day work = 1/6   1boy’s 1 day’s work = 1/18   (1 Man + 1 boy) ‘s 1 day’s work = 1/6 + 1/18 = 2/9   Therefore, 1 woman’s 1 day’s work = 1/3 – 2/9 = 3-2/9 = 1/9   Therefore, the woman alone can finish the work in 9 days.   9 daysnswer: Option 9 days
<result>A</result>
A man, a woman and a boy can together complete a piece of work in 3 days. If a man alone can do it in 6 days and a boy alone in 18 days, how long will a woman take to complete the work?