Respuesta :
It takes 42 minutes for 6 people to paint 7 walls
Solution:
It takes 54 minutes for 4 people to paint 6 walls
To find: Minutes required for 6 people to paint 7 walls
If [tex]M_1[/tex] men can do [tex]W_1[/tex] work in [tex]D_1[/tex] days working [tex]H_1[/tex] hours per day and [tex]M_2[/tex] men can do [tex]W_2[/tex] work in [tex]D_2[/tex] days working [tex]H_2[/tex] hours per day, then
[tex]\frac{M_1D_1H_1}{W_1} = \frac{M_2D_2H_2}{W_2}[/tex]
M = Number of men
D = Number of days
H = Number of hours per day
W = Amount of work
Here in this sum,
54 minutes for 4 people to paint 6 walls
[tex]H_1 = 54 minutes ; M_1 = 4 people ; W_1 = 6 walls[/tex]
Minutes required for 6 people to paint 7 walls
[tex]H_2 = ? ; M_2 = 6 people ; W_2 = 7 walls[/tex]
Substituting the values in formula, we get
[tex]\frac{54 \times 4}{6} = \frac{H_2 \times 6}{7}\\\\9 \times 4 = \frac{H_2 \times 6}{7}\\\\H_2 = \frac{36 \times 7}{6}\\\\H_2 = 42[/tex]
Thus it takes 42 minutes for 6 people to paint 7 walls
