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It takes 22 minutes for 10 people to paint 10 walls. How many minutes does it take 14 people to paint 14 walls?

1 Answer

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Answer:

22 minutes

Explanation:

The number of minutes and number of people are inversely proportional but the number of people, minutes painted and walls painted are directly proportional. Therefore, it takes 10 people 22 / 10 = 2.2 minutes to paint 1 wall and 2.2 * 14 = 30.8 minutes to paint 14 walls. To find the time it takes 14 people to paint 14 walls, we can set up the following equation:

14 * x = 30.8 * 10 (where x is our answer)

x = 30.8 * 10 / 14 = 22 minutes

Additionally, an easier way to do this is to recognize that 1 person paints 1 wall when 10 people paint 10 walls in 22 minutes so as long as the number of people and walls are the same, it will always take 22 minutes.

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