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A man, a woman and a boy 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?
- A10 days
- B9 days
- C8 days
- D7 days
Correct answer: B
Discussion 1
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CCommunity
9 days
(Man + Boy + Woman)’s 1 day’s work = 1/3
Man’s 1day’s work = 1/6
Boy’s 1 day’s work = 1/18
Then, Woman’ 1 day’s work = 1/3 – ( 1/6 + 1/18) = 1/3 – 4/18 =2/18 = 1/9
Therefore, the Woman alone can finish the work in 9 days.
(Man + Boy + Woman)’s 1 day’s work = 1/3
Man’s 1day’s work = 1/6
Boy’s 1 day’s work = 1/18
Then, Woman’ 1 day’s work = 1/3 – ( 1/6 + 1/18) = 1/3 – 4/18 =2/18 = 1/9
Therefore, the Woman alone can finish the work in 9 days.