If 12 men or 18 women can do a work in 14 days, then how many days will 8 men and 16 women do the same work?
Answer & explanation
Correct answer: option 3
Solution
12M or 18W = 14 days ....(1)
12M x 14 = 18W x 14
168M = 252W
6M = 9W
M : W = 9 : 6 = 3 : 2
Now putting ratio in (1)
Total work = 12(3) x 14 = 36 x 14 = 504 units
Time taken by 8M and 16W to complete the total work = \(\frac{504}{8(3)\;+16(2)}\) = \(\frac{504}{56}\) = 9 days,
Therefore, 8M and 16W will complete the total work in 9 days.