Answer:
27 minutes
Step-by-step explanation:
Given that:
It takes 16 minutes for 9 people to paint 8 walls.
i.e
16 minutes ------------ 9 people ---------- 8 walls
How many minutes does it take 4 people to paint 6 walls?
let the number of minutes be (m). NOW;
(m) minutes ------------ 4 people ------------ 6 walls
If it takes 16 minutes for 9 people to paint 8 walls.
∴ For 1 person to paint 8 walls; it will take 16 minutes × 9 = 144 minutes
So, to determine the number of minutes it will take 1 person to paint 6 walls; we have;
6 walls = [tex]\frac{8 walls}{144 minutes}*m[/tex]
6 walls × 144 minutes = 8 walls × (m)
(m) = [tex]\frac{144 minutes * 6 walls}{8 walls}[/tex]
m = 108 minutes
So, it will take 108 minutes for one person to paint 6 walls.
For 4 people now; we have
m =[tex]\frac{108}{4}[/tex]
m= 27 minutes
∴ it will take 27 minutes for 4 people to paint 6 walls
