A certain running back can run 40 yards in 4.8 seconds. How far can the running back go at the same speed in 6 seconds?(1 point)
__ yards
The running back can run 40 yards in 4.8 seconds, which can be expressed as a ratio of 40 yards / 4.8 seconds.
To find out how far the running back can go in 6 seconds, we can set up a proportion:
40 yards / 4.8 seconds = x yards / 6 seconds
Cross-multiplying, we get:
4.8 seconds * x yards = 40 yards * 6 seconds
4.8x = 240
To solve for x, we divide both sides of the equation by 4.8:
x = 240 / 4.8
x = 50
Therefore, the running back can go 50 yards in 6 seconds.
To find out how far the running back can go at the same speed in 6 seconds, you can use a proportion.
First, calculate the speed of the running back in yards per second. Divide the distance (40 yards) by the time (4.8 seconds):
40 yards / 4.8 seconds = 8.33 yards/second (rounded to two decimal places)
Next, multiply the speed by the new time (6 seconds):
8.33 yards/second * 6 seconds = 49.98 yards (rounded to two decimal places)
Therefore, the running back can go approximately 49.98 yards at the same speed in 6 seconds.
To calculate the distance the running back can go in 6 seconds at the same speed, we can use the concept of speed-distance-time relationship. The speed is given as 40 yards in 4.8 seconds, so we need to find the distance for 6 seconds.
First, let's calculate the speed of the running back. We can use the formula:
Speed = Distance / Time
Rearranging the formula to solve for distance:
Distance = Speed * Time
Using the given speed of the running back (40 yards) and the given time (4.8 seconds):
Distance = 40 yards * (6 seconds / 4.8 seconds)
Simplifying the equation:
Distance = 40 yards * 1.25
Therefore, the running back can go:
Distance = 50 yards
So, the running back can go 50 yards in 6 seconds at the same speed.