If 9 people paint a fence in 3 hours at the same rate, how long will it take 27 people to paint the same fence?

Study for the 7th Grade Math Test. Prepare with quizzes, flashcards, and detailed explanations for each question. Stay ready for your exam!

Multiple Choice

If 9 people paint a fence in 3 hours at the same rate, how long will it take 27 people to paint the same fence?

Explanation:
When workers all paint at the same speed, the total amount of work equals the number of workers times the time they work. So 9 people for 3 hours is 9 × 3 = 27 person-hours of work. To finish the same fence with 27 people at the same rate, you need 27 person-hours divided by 27 workers, which is 1 hour. Therefore, it takes one hour.

When workers all paint at the same speed, the total amount of work equals the number of workers times the time they work. So 9 people for 3 hours is 9 × 3 = 27 person-hours of work. To finish the same fence with 27 people at the same rate, you need 27 person-hours divided by 27 workers, which is 1 hour. Therefore, it takes one hour.

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