the work done by a woman in 6 has is equal to the work done by a man info has and by a boy in 12 has a task which normally takes 15 women's working 6 hours a day 10 days to complete is given to 6 men and 9 boys working for has a day on which day will the task be completed
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Ratio of time taken by a woman, a man and a boy
=8:6:12=4:3:6
So, 4 women ≡ 3 men ≡ 6 boy
(12 mens + 12 womens + 12 boys)
=[12+(34×12)+(36×12)]men = (12+9+6)men=27 men
Let the required number of days be x
More men, Less days (Indirect proportion)
More working hours, Less days (Indirect proportion)
Working hours 8:6Men 27:9}::6:x
∴27×8×x=9×6×6⇔x=(9×6×6)(27×8)⇔x=32⇔x=112
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