Two men, 3 women working full time and 3 part times can complete a job in 20 days. Four men and 9 women working full time can complete the same job in 10 days. Find the ratio of the times taken by a woman (full-timer) and a part timer to complete the job.  Select:
A) 1:2 B) 2:1 C) 1:3 D) 3:1 E) 1:4
let X=single man one day work   y=single woman one day work   so single woman's part tym work will be y/2   so 1st equation is,   2x+3y+3(y/2)=1/20 (as they are completing in 20 days)   2nd equation wil be,   4x+9y=1/10 (as they are completing in 10 days)   solving both equations we will get,   y=1/90 (this is the single woman's full timer 1 day work)   so now taking the ratio of full-timer and a part timer we will get   90:45=2:1   ANSWER:2:1
<result>B</result>
Two men, 3 women working full time and 3 part times can complete a job in 20 days. Four men and 9 women working full time can complete the same job in 10 days. Find the ratio of the times taken by a woman (full-timer) and a part timer to complete the job.