Question

Three women or four girls can build a well in 62 days. Find how many days will it take for 12 women and 15 girls to build the well.

• A. 10
• B. 12
• C. 8
• D. 9

Answer 1

The correct option is C 8

3 Women = 4 Girls. They both can finish the work in 62 days

$G=\frac{3}{4}W\left(12W+15G\right)\times D=3W\times 62\mathrm{where}D\mathrm{is}\mathrm{the}\mathrm{number}\mathrm{of}\mathrm{days}\left(12W+15\times \frac{3}{4}W\right)=\frac{93}{4}W\frac{93}{4}W\times D=3W\times 62D=8\mathrm{days}$
G =34W

(12W + 15G) D = 3W 62 where D is the number of days

12 W + 15 × 34 W=934W

934WD = 3W 62

D = 8 days