GMAT Problem Solving (PS) | Re: If 12 men and 16 women can do a piece of work in 5 days and

12m + 16w = 5d
So, 60md + 80wd, where md = man-days, wd = woman-days

13m + 24w = 4d
So, 52md + 96wd.

60md + 80wd = 52md + 96wd
8md = 16wd
1 md = 2 wd
Efficiency of 1 man = 2 woman


7m + 10w = 14w + 10w = 24w

13m + 24w = 4d
26w + 24w = 4d
50 women can do the work in 4 days, so 24 women can do it in 50*4/24 = 8.3 days. Ans - C.

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