Annabelle’s time for a race was 46.5 seconds. Another runner's time was 7.73 seconds faster. Write and evaluate an equation with a variable to find the difference between Annabelle’s time and the other runner's time.

Let \( x \) represent the other runner's time. Write an equation to find \( x \):

\[ x = 46.5 - 7.73 \]

Evaluate the equation to find the difference:

\[ x = 38.77 \]

The difference between Annabelle's time and the other runner's time is 7.73 seconds.

To find the time of another runner who was 7.73 seconds faster than Annabelle, you subtract 7.73 from Annabelle's time. So, the time of the other runner is 38.77 seconds.

Explanation:

In the given scenario, let's denote the time of the other runner as 't'. According to the question, this runner was 7.73 seconds faster than Annabelle, so we get equation: t = 46.5 - 7.73. In order to solve this equation, we just subtract 7.73 from 46.5. Therefore, t = 38.77 seconds. This means, the other runner completed the race in 38.77 seconds, which is indeed faster than Annabelle's time.

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