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A painter contractor determined the average amount of time needed to paint a house. when 2 painters are used it takes 20 hours to paint the exterior of a house. when 5 painters are used it takes 8 hours to paint the exterior of a house. let p represent the number of painters. let t represent the amount of time required to paint a house.

Respuesta :

[tex]\text {2 painters take} \longrightarrow 20 \text { hours}[/tex]

[tex]\text {1 painters will take} \longrightarrow 20 \times 2 = 40 \text { hours}[/tex]

P = number of painters.

[tex]\text {P painters will take} \longrightarrow 40 \div p = \dfrac{40}{p} \text { hours}[/tex]

t = total of times needed,

[tex]\boxed{\boxed {\text {Answer: }t = \dfrac{40}{p}}}[/tex]

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