# It takes 7 people 5 minutes to paint 3 walls. How long will it take 5 people to paint 2 walls?

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#### Explanation

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#### Explanation:

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May 22, 2018

Assuming all people work at the same speed, it takes 4 minutes and 40 seconds to accomplish this task.

#### Explanation:

There are two fundamental changes to this problem between the two scenarios- the number of people and the number of walls.

The number of people you have working on the walls is inversely proportional to the amount of time it takes- the more people, the less time it takes.

The number of walls is directly proportional- the less walls, the less time it takes.

Work:

7 people take 5 minutes to paint 3 walls.

Those 7 people would take 1 minute and 40 seconds (1/3 of 5 minutes) to paint 1 wall.

Furthermore, it would take them 3 minutes and 20 seconds to paint 2 walls by this same logic.

1 person would take 23 minutes and 20 seconds to paint 2 walls. This is 7 times longer than 7 people would take to complete this task.

5 people would take 1/5 of the time that the 1 person would, and 23 minutes and 20 seconds divided by 5 is 4 minutes and 40 seconds.

5 people would take 4 minutes and 40 seconds to paint 2 walls.

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