Final answer:
Terrance finished first as he was faster than Mike, Mike finished second with a time of 28 seconds, and Nathan came in third with a time of 32 seconds.
Step-by-step explanation:
To determine which swimmer finished the race in the first, second, and third places based on their speeds, we need to compare the time it took each swimmer to complete the 50 m freestyle race. We are given the times for Nathan and Mike, but only a comparison between Terrance's and Mike's speed. Nathan swam 50 meters in 32 seconds, and Mike swam 50 meters in 28 seconds. Since Terrance swam faster than Mike, he must have taken less time than Mike's 28 seconds, making Terrance the fastest among the three.
- Terrance (faster than 28 seconds)
- Mike (28 seconds)
- Nathan (32 seconds)
Therefore, the swimmers finished in the following order: Terrance first, Mike second, and Nathan third.