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.

• 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
  
• 11 years agoHelpfull: Yes(18) No(8)
• here,part time does not mean it has to half of the full time women's work.
  And a full time women should finish the job faster than the half time woman.
  So, i think the previous answers are wrong.
  solution:
  let X=single man one day work
  y=single woman one day work
  z=single part time woman one day work
  
  so, 2x+3y+3z=1/20 --->(1)
  4x+9y =1/10 --->(2)
  by solving this we get
  y=2z
  so, the ratio is 1:2
• 10 years agoHelpfull: Yes(9) No(1)
• reema ur solution is wrong
  when we solve both euation it becomes zero.
  so ur answer is wrong
  
• 9 years agoHelpfull: Yes(7) No(0)
• let work done by a man is x in full time and that of woman is y in full time. so 2 equations will be
  [2*x+3*y+(3*y)/2]=1/20
  [x+3y]=1/40
  solving both y=1/40 mean woman can complete a work in 40 days in full time.ans is 2:1
• 11 years agoHelpfull: Yes(6) No(9)
• @pinaki
  let x=a single mans 1 day work in fulltime
  y=a womans 1day work in full time
  as it is given two men full time,3 woman full time and 3 women part time can complte a work in 20 days.
  if we vl calculate 1 day work so 3*(1 day work of a man full time)+3*(1 day work of a woman in fulltime)+3*(1 day work of woman half time)=1/20 part
  so 3*x+3*y+3*(y/2)=1/20
  2nd eqn 4(1 day work of a man full time)+9*(1 day work of a woman full time)=1/10 part
  so eqn becomes 4x+9y=1/10.
• 11 years agoHelpfull: Yes(2) No(1)
• question is to Find the ratio of the " times " taken by a woman (full-timer) and a part timer to complete the job.
  
  so answer should be 1:2
• 11 years agoHelpfull: Yes(2) No(1)
• how u get the 1st equ???????
  rajesh its 2 men u calculate 3 men???????
• 11 years agoHelpfull: Yes(2) No(0)
• @ rajesh: can u pls explain the 2nd eqn.
• 11 years agoHelpfull: Yes(0) No(2)
• sry ..by mistakely i wrote again d 1st eqn.by solving 1st eqn its x+3y=1/40 and 2nd eqn is 4x+9y=1/10.by solving 1 and 2 y=1/40
• 11 years agoHelpfull: Yes(0) No(1)
• Can u please. Explain me the 1st eqn y
• 11 years agoHelpfull: Yes(0) No(0)
• i did'nt get u!
• 11 years agoHelpfull: Yes(0) No(0)
• plz xplain again both eqns
• 11 years agoHelpfull: Yes(0) No(0)