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

• total work can be done in 6 days. consider inverse proportion
  1/m + 1/w + 1/c = 1/6
  Man only can do it in 24 days. Woman can do it in 16 days
  so 1/24 + 1/16 + 1/c = 1/6
  solving the equation we get c as 16
  ans is (c)16
• 14 years agoHelpfull: Yes(16) No(0)
• man 's one day work=1/24
  woman's one day work=1/16
  child's one day work=1/16
  ans is 16(c)
  
  
• 14 years agoHelpfull: Yes(5) No(0)
• consider the inverse relation of efficiency and time taken....
  
  time taken when all work is 6days
  time taken by man is 24 days
  
  if efficiency of man is x
  combined efficiency is 4x
  
  time taken by woman is 16 days
  so her efficiency is 1.5x
  
  so child's efficiency is 1.5x or he'll take 16 days
  answer: 16 days
• 14 years agoHelpfull: Yes(2) No(0)
• 16
• 14 years agoHelpfull: Yes(1) No(0)