If 5 men or 9 women can finish a piece of work in 19 days 3 men and 6 women will done same work in ........

Quantitative Aptitude Time and work

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If 5 men or 9 women can finish a piece of work in 19 days, 3 men and 6 women will done same work in

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EPFO APFC (2015)

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12 days

13 days

14 days

15 days

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Explanation:

M1*D1/W1 = M2*D2/W2
Where M1 = working men, D = day, W = work
It is given that 5 men or 9 women can do the job in 19 days.
So, 5 men = 9 women
1 man = (9/5)Women
3 men = 3(9/5) Women
So, 3 men + 6 women = 3*( 9/5) + 6
Women = 57/5
Now,
M1*D1/W1 = M2*D2/W2
Let D2 = a
Also W1 = W2
9*19 = (57/5)*a
So, a = 15 days