Question

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.

Answer 1

`\text {2 painters take} \longrightarrow 20 \text { hours}`


`\text {1 painters will take} \longrightarrow 20 * 2 = 40 \text { hours}`

P = number of painters.


`\text {P painters will take} \longrightarrow 40 / p = (40)/(p) \text { hours}`

t = total of times needed,


`\boxed{\boxed {\text {Answer: }t = (40)/(p)}}`