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Varun

· started a discussion

· 1 Months ago

Answer is 3/2 ,but in solution answer is 2 it is wrong

Question:
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 work working 8 hours per day?
Options:
A) \(1\cfrac{1}{3}\) days
B) \(3\cfrac{2}{3}\) days
C) 3 days
D) 3/2 days
E) None of these
Solution:
Ans: (d) 8W = 6M = 12B then, From the question

9 × 6 × 6 = (12+9+6) × 8 × x

\(x=\cfrac{3}{2}\) days

Knowledge Expert

· commented

· 1 Months ago

3/2 is correct.......

1 man done work in 6*6*9 hours
let us x days
total hour taken by man=12*8*x*1

total hour taken by women=12*8*x*(6/8)

total hour taken by boys=12*8*x*(6/12)
after equating hours then
6*6*9=12x(8+6+4)
x=6*6*9/(12*18)
x=1.5

we fixed it.

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