Question 112

If 12 boys or 15 girls can do a work in 48 days, in what time will 24 boys and 6 girls do twice the work?

Solution

12 boys or 15 girls can do a work in 48 days

=> $$12 boys \equiv 15 girls$$

=> $$24 boys \equiv 30 girls$$

We need to find for 24 boys and 6 girls. Substituting value of 24 boys

=> $$24 boys + 6 girls = 36 girls$$

Now, using : $$\frac{M_1 \times D_1}{W_1} = \frac{M_2 \times D_2}{W_2}$$

=> $$\frac{15 \times 48}{1} = \frac{36 \times D_2}{2}$$

=> $$15 \times 48 = 18 \times D_2$$

=> $$D_2 = \frac{15 \times 48}{18}$$

=> $$D_2 = 5 \times 8 = 40$$ days

Create a FREE account and get: