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 200 seconds 200 seconds 7.5 seconds 7.5 seconds 3.33 seconds 3.33 seconds 40 seconds 40 seconds
To find out how fast Danni will be able to complete a race that is 600 meters, we can use a proportional relationship.
The given information states that Danni drove 400 meters in 5 seconds.
Let's set up the proportion:
400 meters / 5 seconds = 600 meters / x seconds
Using cross-multiplication, we get:
400 * x = 5 * 600
400x = 3000
Dividing both sides of the equation by 400, we get:
x = 3000 / 400
x = 7.5 seconds
Therefore, Danni will be able to complete a race that is 600 meters in 7.5 seconds.
To find out the time it takes for Danni to complete a race that is 600 meters, we can use the formula:
Speed = Distance / Time
First, let's calculate Danni's speed in the first race:
Speed = 400 meters / 5 seconds
Speed = 80 meters per second
Now, we can use this speed to find out the time it would take her to complete a race of 600 meters:
Time = Distance / Speed
Time = 600 meters / 80 meters per second
Now let's solve for time:
Time = 7.5 seconds
So, Danni will be able to complete the 600-meter race in 7.5 seconds.