Final answer:
To find out how long it would take 7 people to build the same Lego tower, divide the total person-minutes of work (150) by the number of people (7). It would take about 21.43 minutes for 7 people to build the tower.
Step-by-step explanation:
To solve this problem, we can use the concept of work done which is a product of the number of workers and the time they take to build something. If it takes 5 people 30 minutes to build a Lego tower, this is equal to 5 people × 30 minutes = 150 person-minutes of work. Now, if we have 7 people working on the same task, we want to find out how many minutes it will take for them to complete the 150 person-minutes of work.
Here is the mathematical process:
- Divide the total person-minutes of work by the number of people to find the time in minutes. So, 150 person-minutes ÷ 7 people = 21.43 minutes (approximately).
- Therefore, it will take about 21.43 minutes for 7 people to build the same Lego tower.