Question

it takes 545454 minutes for 444 people to paint 666 walls. How many minutes does it take 666 people to paint 777 walls?

Answer 1

230

Explanation:

First calculate how long it will take one person to paint one wall.

It will take 1/3 of the time to paint one wall. So it will take 46/3 minutes for 10 people to paint one wall.

For only one person, it will take 10 times as long, so it will take 46/3 * 10 =460/3 minutes for one person to paint one wall.

So, the number of minutes it will take for one person to paint 6 walls is 460/3 * 6= 920 .

The number of minutes it will take for 4 people to paint 6 walls is 920÷4=230

Answer 2

42 minutes

Explanation:

I think this problem should read:

"If it takes 54 minutes for 4 people to paint 6 walls. How many minutes does it take 6 people to paint 7 walls?"

The fewer people working, the more time it takes, so to go from more people to fewer people, multiply the time to give a larger number. To go from fewer people to more people, divide the time to give a smaller number.

The more walls, the more time it takes, so to go from fewer walls to more walls, multiply the time to give a larger number. To go from more walls to fewer walls, divide the time to give a smaller number.

"it takes 54 minutes for 4 people to paint 6 walls"

then

it takes 9 minutes for 4 people to paint 1 wall (1/6 of the walls in 1/6 of the time)

and

it takes 36 minutes for 1 person to paint 1 wall (1/4 of the people take 4 times longer)

then

it takes 252 minutes for 1 people to paint 7 walls (7 walls take 7 times the time of 1 wall)

and

it takes 42 minutes for 6 people to paint 7 walls (6 people work 6 times faster than 1)