Question
What is the waiting time for a ride at an amusement park if 1080 people are in line when the waiting time is 15 minutes for 120 people?
Answers
GPT-4o mini
To determine the waiting time for 1080 people based on the waiting time for 120 people (15 minutes), you can use a proportion.
First, let's find the waiting time per person. If 120 people have a waiting time of 15 minutes, we can find the waiting time per person:
\[
\text{Time per person} = \frac{\text{Total waiting time}}{\text{Number of people}} = \frac{15 \text{ minutes}}{120 \text{ people}} = 0.125 \text{ minutes per person}
\]
Now, if there are 1080 people in line, the total waiting time can be calculated by multiplying the waiting time per person by the number of people:
\[
\text{Total waiting time} = \text{Time per person} \times \text{Number of people} = 0.125 \text{ minutes per person} \times 1080 \text{ people}
\]
Calculating that:
\[
\text{Total waiting time} = 0.125 \times 1080 = 135 \text{ minutes}
\]
So, the waiting time for a ride at the amusement park when there are 1080 people in line would be **135 minutes**.
First, let's find the waiting time per person. If 120 people have a waiting time of 15 minutes, we can find the waiting time per person:
\[
\text{Time per person} = \frac{\text{Total waiting time}}{\text{Number of people}} = \frac{15 \text{ minutes}}{120 \text{ people}} = 0.125 \text{ minutes per person}
\]
Now, if there are 1080 people in line, the total waiting time can be calculated by multiplying the waiting time per person by the number of people:
\[
\text{Total waiting time} = \text{Time per person} \times \text{Number of people} = 0.125 \text{ minutes per person} \times 1080 \text{ people}
\]
Calculating that:
\[
\text{Total waiting time} = 0.125 \times 1080 = 135 \text{ minutes}
\]
So, the waiting time for a ride at the amusement park when there are 1080 people in line would be **135 minutes**.