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)

Question

Responses

40 seconds
40 seconds

3.33 seconds
3.33 seconds

200 seconds
200 seconds

7.5 seconds

Answer 1

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.