24 men can complete a work in 16 days. the same work can be completed by 8 women in 72 days, whereas 24 children take 32 days to complete it. if 10 men 15 women and 24 children work together, in how many days can the work be completed.

• 12 days
  
  1 man's 1 day work=1/(24*16)
  1 woman's 1 day work=1/(8*72)
  1 chils's 1 day work=1/(24*32)
  So 10 men, 15 women and 24 children's 1 day work=10*1/(24*16) + 15*1/(8*72) + 24*1/(24*32) = 1/12
  So days required = 12
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