Answer:
7.6 meters per second
Explanation:
Step 1: Find the runner's speed:
Distance equals the product of rate and time:
Distance = rate * time
d = rt
Since the runner ran a 200-meter dash in 21.3 seconds, we can substitute these values for d and t in the distance-rate-time equation to find the runner's speed (r):
(200 = 21.3r) / 21.3
9.389671362 = r
Thus, the runner's speed 9389671362
- Note I didn't round at this intermediate step, since the problem already wants us to round our final answer and rounding now can affect our final answer.
- On a calculator, you could type (200/21.3) to represent the runner's speed for convenience.
Step 2: Find the difference in the swimmer and runner's speeds:
Now we can determine how much faster was the runner's speed than the swimmer's speed by subtract 1.8 (i.e,. the swimmer's speed) from 9.389671362 (i.e., the runner's speed):
Difference = runner's speed - swimmer's speed
Difference = 9.389671362 - 1.8
Difference = 7.589671362
Difference = 7.6
Thus, the runner's speed was approximately 7.6 meters per second faster than the swimmer's speed.