Exactly 24 days...
1 man do 1/44 job per day
2 woman do 1/44 job per day
3 children do 1/44 job per day
so
1man , 1 woman , 1 child..
1/44+1/88+1/132 job per day
so 11/264 = 1/t where t is the time taken..
now 264/11 = 24 = t
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