Question

working for eight hours daily ,40 people can dig the foundation of a building in 21 days. working for 10 hours daily ,if the work to be finished in 14 days ,how many people to do the same? please send its solution with ratio and proportion method. please send it sortly.

Answer 1

i hope this will usful to u

Answer 2

Answer:

48

Step-by-step explanation:

We are given that working for eight hours daily ,40 people can dig the foundation of a building in 21 days.

Case 1) Let $W_1$ be the work done by men , $M_1$be the no. of men ,$D_1$ be the no. of days taken to complete work and $H_1$ be the no. of hours per day .

So,$W_1=1 , M_1 = 40 , H_1 = 8 , D_1 = 21$

Now we are supposed to find  working for 10 hours daily ,if the work to be finished in 14 days ,how many people to do the same

Case 2 ) Let $W_2$ be the work done by men , $M_2$be the no. of men ,$D_2$ be the no. of days taken to complete work and $H_2$ be the no. of hours per day .

So,$W_2=1, M_2 = ?, H_2 = 10 , D_2 = 14$

$\frac{M_1  \times D_1 \times H_1}{W_1}=\frac{M_2 \times D_2 \times H_2}{W_2}$

$\frac{40  \times 21 \times 8}{1}=\frac{? \times 14 \times 10}{1}$

$\frac{40  \times 21 \times 8}{14 \times 10}=?$

$48=?$

Hence working for 10 hours daily ,if the work to be finished in 14 days ,48 people to do the same