A man, a woman, and a child can do a piece of work in 6 days. Man only can do it in 24 days. Woman can do it in 16 days and in how many days child can do the same work?
(a) 8 (b) 14 (c) 16 (d) 18

• a man ,a woman a child do 6 days 1 work 1 day 1/6 part
  man can do 1 day 1/24 woman can do 1/16 so child can do 1 day (1/6-1/24-1/16)=1/16 so child can do 16 days
• 13 years agoHelpfull: Yes(26) No(0)
• 16 days
  
  1/(1/6 -1/24 - 1/16) = 48/3=16
• 13 years agoHelpfull: Yes(16) No(0)
• 1/6-1/24-1/16=1/16
  Ans=1/16
• 13 years agoHelpfull: Yes(5) No(0)
• 1/6-1/24-1/16=1/16
  Ans=1/16
• 13 years agoHelpfull: Yes(5) No(0)
• 1/6-1/24-1/16=1/16
  Ans=1/16
• 13 years agoHelpfull: Yes(3) No(0)
• 1/6-1/24-1/16=1/16
  Ans=1/16
• 13 years agoHelpfull: Yes(3) No(0)
• m+w+c=6days,
  m=24days
  w=16days
  then total work will be lcm of these days(according to work and time law)
  so lcm=48(network)
  M+w+c=8unit/day,
  m=2unit/day
  w=3unit/day
  so c=8-2-3=3unit/day
  so child can complte work =48/3=16days
• 7 years agoHelpfull: Yes(3) No(0)
• let assume a piece of work as 1.
  GIVEN:
  1/M + 1/W + 1/C =1/6
  1/M=1/24
  1/W=1/16
  Therefore : 1/24 + 1/16 + 1/c = 1/6
  the ans is 1/c = 1/16.
• 5 years agoHelpfull: Yes(1) No(0)
• 1/6-1/24-1/16=1/16. so 16 will be ans.
• 9 years agoHelpfull: Yes(0) No(0)
• man+women+child=6 days,then work=1/6
  man=24 days,then work=1/24
  women=16 days,then work=1/16
  man+women+child=total
  (1/6-1/24-1/16)=1/16.
  child can do work in 16 days
• 9 years agoHelpfull: Yes(0) No(0)
• A+B+C=1/16
  A=1/24
  B=1/16
  SUBSTITUTE IN ABOVE
  1/24+1/16+C=1/6
  C=(8-2-3)/48
  =3/48
  =1/16
  =16DAYS
  
• 9 years agoHelpfull: Yes(0) No(0)