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
7.5 seconds
7.5 seconds
3.33 seconds
3.33 seconds
40 seconds
40 seconds
200 seconds
We can set up a proportion to find the answer:
400 meters / 5 seconds = 600 meters / x seconds
Cross-multiplying, we get:
400x = 5 * 600
Simplifying, we get:
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 determine how fast Danni will be able to complete a 600-meter race, we need to find her average speed. Average speed is calculated by dividing the total distance traveled by the time taken.
In this case, Danni traveled 400 meters in 5 seconds. To find her average speed, divide the distance (400 meters) by the time taken (5 seconds):
Average Speed = Distance / Time
Average Speed = 400 meters / 5 seconds
Average Speed = 80 meters/second
To find the time Danni will take to complete a 600-meter race at this speed, divide the distance (600 meters) by the average speed (80 meters/second):
Time = Distance / Average Speed
Time = 600 meters / 80 meters/second
Time = 7.5 seconds
Therefore, Danni will be able to complete a 600-meter race in 7.5 seconds.
The correct answer is:
7.5 seconds