Answer:
The time required by 9 people to paint 7 walls is 49 minutes
Step-by-step explanation:
Given as :
The number of people (p1) = 7
The work done by them (w1) = 4
The time taken (T1) = 36 minutes
Again :
The number of people (p2) = 9
The work done by them (w2) = 7
Let the time Time taken (T2) = T2
So, we know as :
[tex]\frac{MEN \times TIME}{WORK}[/tex] = Constant
SO, [tex]\frac{P1 \times T1}{W1}[/tex] = [tex]\frac{P2 \times T2}{W2}[/tex]
Or, [tex]\frac{7 \times 36 min}{4}[/tex] = [tex]\frac{9 \times T2}{7}[/tex]
Or, [tex]\frac{252}{4}[/tex] = [tex]\frac{9 T2}{7}[/tex]
Or , [tex]\frac{252 \times 7}{9\times 4}[/tex] = T2
∴ T2 = 49 minutes
Hence The time required by 9 people to paint 7 walls is 49 minutes Answer