Final answer:
The difference between the slowest and fastest times in a 10-kilometer race is 2 minutes and 31 seconds, calculated by converting both times into seconds, finding the difference, and converting back into minutes and seconds.
Step-by-step explanation:
In a 10-kilometer race, the runners record the following times: 30:44, 29:33, 31:22, 29:11, and 28:51. To find the difference between the slowest and fastest times, we first identify these times. The slowest time is 31:22, and the fastest time is 28:51.
We then convert these times into total seconds to make it easier to calculate the difference:
- Slowest time (31:22) is 31 minutes * 60 seconds + 22 seconds = 1882 seconds
- Fastest time (28:51) is 28 minutes * 60 seconds + 51 seconds = 1731 seconds
The difference between the two times is 1882 seconds - 1731 seconds = 151 seconds.
To convert the difference back to minutes and seconds, we divide by 60:
- 151 seconds ÷ 60 seconds = 2 minutes,
- 31 seconds (remainder)
Therefore, the difference between the slowest and fastest runner's time is 2 minutes and 31 seconds.