A man, a woman and a boy can together complete a piece of work in 4 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?  Answers
A) 36days  B) 32days  C) 34days  D) 42days  E) 49days
Explanation:   (1 Man + 1 woman + 1 boy)’s 1day’s work = 1/4   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 = 1/4 – 2/9 = 1/36   Therefore, the woman alone can finish the work in 36 days.   36daysnswer: Option 36days
<result>A</result>
A man, a woman and a boy can together complete a piece of work in 4 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?