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? Choose the correct choice from the following answers
A) 36 days  B) 32 days  C) 34 days  D) 42 days  E) 49 days

Rationale: "explanation : ( 1 man + 1 woman + 1 boy ) ’ s 1 day ’ s work = 1 / 4 1 man ’ s 1 day work = 1 / 6 1 boy ’ 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 . answer : option a"
Answer: A