Time and Work Practice Test 3 with solutions

(12 men + 18 women) × 6 = 12 women × 18
⇒ 72 men + 108 women = 216 women
⇒ 72 men = 108 women
Hence, 2 men = 3 women
12 men + 18 women = 18 women + 18 women = 36 women
(12 men + 18 women)'s 4 days' work = $\frac{4}{6}$ = $\frac{2}{3}$
Remaining part of work = 1 - $\frac{2}{3}$ = $\frac{1}{3}$ ; which will be done by 8 men and 18 women  30 women.
36 women can do the whole work in 6 days
Hence, 30 women will do the 1/3 work in $\frac{6\times 36}{30}\times \frac{1}{3}$ = $\frac{12}{5}$ = $2\frac{2}{5}$ days.