Respuesta :

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

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