If 5 men can do a piece of work in 10 days and 12 women can do the same work in 15 days the number o...........

Quantitative Aptitude (CDS) Time and work

If 5 men can do a piece of work in 10 days and 12 women can do the same work in 15 days, the number of days required to complete the work by 5 men & 6 women is

$\small 7\frac{1}{2} \: days$

8 days

$\small \small 9\frac{1}{2} \: days$

12 days

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Explanation:

5M x 10 = 12W × 15
M = 12W x 15 / 5×10
M =18/5W
Now,
5W + 6W = 5 x 18/5 W
= 24W
Again,
12W × 15 days = 24W x no of days
=> No of days =( 12 x15)/24
$\small =>7\frac{1}{2}\: days$