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Answer :
Sure! Let's break down the problem step by step to understand how to find the score that the last runner must achieve to win the competition.
1. The scores of the first four runners are as follows:
- Runner 1: 9.8 seconds
- Runner 2: 9.75 seconds
- Runner 3: 9.79 seconds
- Runner 4: 9.81 seconds
2. In order to win the competition, the last runner needs to have the lowest score (since in running, a lower time is better).
3. To determine what score the last runner needs to get to win, we should look at the lowest score among the four runners. The lowest score among the four runners is 9.75 seconds.
4. To ensure that the last runner wins, their score must be less than the lowest score of 9.75 seconds. Even being 0.01 seconds faster would be sufficient to win.
5. Therefore, the score that the last runner must get to win the competition is:
[tex]\[
9.75 - 0.01 = 9.74 \text{ seconds}
\][/tex]
So, the last runner must achieve a time of 9.74 seconds or less to win the competition.
1. The scores of the first four runners are as follows:
- Runner 1: 9.8 seconds
- Runner 2: 9.75 seconds
- Runner 3: 9.79 seconds
- Runner 4: 9.81 seconds
2. In order to win the competition, the last runner needs to have the lowest score (since in running, a lower time is better).
3. To determine what score the last runner needs to get to win, we should look at the lowest score among the four runners. The lowest score among the four runners is 9.75 seconds.
4. To ensure that the last runner wins, their score must be less than the lowest score of 9.75 seconds. Even being 0.01 seconds faster would be sufficient to win.
5. Therefore, the score that the last runner must get to win the competition is:
[tex]\[
9.75 - 0.01 = 9.74 \text{ seconds}
\][/tex]
So, the last runner must achieve a time of 9.74 seconds or less to win the competition.
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