Question

It takes 16 minutes for 9 people to paint 8 walls.

How many minutes does it take 4 people to paint 6 walls?

Answer 1

27 minutes

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 =
`(8 walls)/(144 minutes)*m`

6 walls × 144 minutes = 8 walls × (m)

(m) =
`(144 minutes * 6 walls)/(8 walls)`

m = 108 minutes

So, it will take 108 minutes for one person to paint 6 walls.

For 4 people now; we have

m =
`(108)/(4)`

m= 27 minutes

∴ it will take 27 minutes for 4 people to paint 6 walls