If 12 boys or 15 girls can do a work in 48 days, in what time will 24

1.	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?1). 42 days2). 40 days3). 45 days4). 30 days
Answer» 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

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?1). 42 days2). 40 days3). 45 days4). 30 days

Answer»

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