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

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

$\text {1 painters will take} \longrightarrow 20 \times 2 = 40 \text { hours}$

P = number of painters.

$\text {P painters will take} \longrightarrow 40 \div p = \dfrac{40}{p} \text { hours}$

t = total of times needed,

$\boxed{\boxed {\text {Answer: }t = \dfrac{40}{p}}}$