Four men and three women can do a job in 6 days. When five men and six women work on the same job, the work gets completed in 4 days. How long will a woman take to do the job, if she works alone on it?

• 24m+18w=20m+24w
  =>1m=3/2w
  3(1/3w)+3w=1/6=
  >w=54 days
• 11 years agoHelpfull: Yes(19) No(2)
• 4m+3w=1/6,5m+6w=1/4 by solving both eqns we get m=1/36
  women working days :6
• 12 years agoHelpfull: Yes(10) No(22)
• From the given question
  4m+3w=1/6 5m+6w=1/4 by solving two equations we get m=1/36
  by that we can have w=1/18.. i.e., amount of work for 1 day alone
  and hence amount of total work done in 18 days....
• 12 years agoHelpfull: Yes(6) No(14)
• 24m+18w=20m+24w
  =>1m=3/2w
  3(1/3w)+3w=1/6=
  >w=54 days
• 11 years agoHelpfull: Yes(4) No(1)
• 2 equations formed are :
  4/x + 3/y =1/6(1/x=work done by a man in 1 day; 1/y = female 1 day's work)
  5/x + 6/y =1/4
  on solving:-
  x=36;y=54
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
• 11 years agoHelpfull: Yes(3) No(3)
• How you got m=1/36.This no body explained.complete step wise solution is required for beginners.
• 10 years agoHelpfull: Yes(3) No(0)