Question 57

The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours. If working 6 hours per day 9 men can complete a work in 6 days, then in how many days can 12 men, 12 women and 12 boys together finish the same work, working 8 hours per day ?


Let men be M and boy be B and women be W.



3m =4f =6b    .....(1)
X =  12m+12f+12b ........(2)

On solving, we get


So putting in equation 2, we get

X= 24b + 18b + 12b 

X = 54b

So, 9m *6 *6 = X * 8*D  (let D be the number of days)

54*6 * 2b =54b*8*D

D = 3/2 = 1.5 days 

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