Question

10 men are working for 5 hours a day for 6 days mow an area of 5 acres. If there are 8 men working 4 hours a day mow 4 acres of land, how many days will it take?

Answer 1

See the attached file for solution. Thanks

Answer 2

Answer:

7.5 days

Step-by-step explanation:

We are given that  10 men are working for 5 hours a day for 6 days mow an area of 5 acres

Let $W_1$be the work done by 10 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,$W_1=5 , M_1 = 10 , H_1 = 5 , D_1 = 6$

We are supposed to find there are 8 men working 4 hours a day mow 4 acres of land

Let $W_2$ be the work done by 8 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 .

$W_2=4, M_2 = 8 , H_2 = 4 , D_2 = ?$

We know that :

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

$\frac{10  \times 6 \times 5}{5}=\frac{8 \times ? \times 4}{4}$

$\frac{10  \times 6 \times 5 \times 4}{5 \times 8 \times 4}=?$

$7.5=?$

Hence If there are 8 men working 4 hours a day mow 4 acres of land,it wil take 7.5 days to complete work