Given data:
* The average speed of the racer is 198.37 miles per hour.
* The time taken by the racer is 4.537 seconds.
Solution:
The average speed of the racer in terms of miles per seconds is,
[tex]\begin{gathered} v=198.37\text{ mph} \\ v=\frac{198.37}{60\times60} \\ v=0.055\text{ miles per seconds} \end{gathered}[/tex]The distance traveled by the racer is,
[tex]\begin{gathered} v=\frac{d}{t} \\ d=vt \end{gathered}[/tex]Substituting the known values,
[tex]\begin{gathered} d=0.055\times4.537 \\ d=0.2500\text{ miles} \end{gathered}[/tex]Hence, 3rd option is the correct answer.