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
7.5 seconds
7.5 seconds
3.33 seconds
3.33 seconds
200 seconds
200 seconds
To find the answer, we can set up a proportion using the distance and time.
Since Danni drove 400 meters in 5 seconds, we can set up the proportion:
400 meters / 5 seconds = 600 meters / x seconds
Cross-multiplying, we get:
400x = 5 * 600
400x = 3000
Dividing both sides 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 how long it will take Danni to complete a 600-meter race at the same rate, we can set up a proportion.
The ratio between the distance and time for her initial race is 400 meters / 5 seconds.
We can set up the proportion: (400 meters / 5 seconds) = (600 meters / x seconds).
To solve for x, we can cross-multiply and then divide:
400 meters * x seconds = 600 meters * 5 seconds
400x = 3000
x = 3000 / 400
x = 7.5 seconds
Therefore, Danni will be able to complete a 600-meter race in 7.5 seconds.
To solve this problem, we can use the concept of speed which is given by the formula: speed = distance / time.
In the given scenario, Danni drove her red car for a distance of 400 meters in 5 seconds.
We can calculate Danni's speed by dividing the distance she traveled (400 meters) by the time it took her (5 seconds):
Speed = 400 meters / 5 seconds = 80 meters per second
Now, let's find out how long it will take Danni to complete a race that is 600 meters.
We can use the formula for time: time = distance / speed.
Plug in the values:
Time = 600 meters / 80 meters per second.
Calculating this yields:
Time = 7.5 seconds
Therefore, if Danni drives the same car at the same rate, she will be able to complete a race that is 600 meters in 7.5 seconds.