Question
Danni races cars at her local racetrack. She drove her red car 400 meters in 5 seconds. If she drives the same car at the same rate, how fast will she be able to complete a race that is 600 meters?(1 point)
Responses
40 seconds
40 seconds
3.33 seconds
3.33 seconds
200 seconds
200 seconds
7.5 seconds
Responses
40 seconds
40 seconds
3.33 seconds
3.33 seconds
200 seconds
200 seconds
7.5 seconds
Answers
GPT-4o mini
To find out how fast Danni will complete a 600-meter race, we first need to determine her speed while racing 400 meters in 5 seconds.
1. **Calculate her speed**:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{400 \text{ meters}}{5 \text{ seconds}} = 80 \text{ meters/second} \]
2. **Use her speed to find the time to complete 600 meters**:
Using the speed we calculated, we can find out how long it will take her to drive 600 meters.
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{600 \text{ meters}}{80 \text{ meters/second}} = 7.5 \text{ seconds} \]
So, if Danni drives at the same rate, she will be able to complete a 600-meter race in **7.5 seconds**.
The correct answer is **7.5 seconds**.
1. **Calculate her speed**:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{400 \text{ meters}}{5 \text{ seconds}} = 80 \text{ meters/second} \]
2. **Use her speed to find the time to complete 600 meters**:
Using the speed we calculated, we can find out how long it will take her to drive 600 meters.
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{600 \text{ meters}}{80 \text{ meters/second}} = 7.5 \text{ seconds} \]
So, if Danni drives at the same rate, she will be able to complete a 600-meter race in **7.5 seconds**.
The correct answer is **7.5 seconds**.