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If a drag racer wins the final round of her race by going an average speed of 198.37 miles per hour in 4.537 seconds, what distance did he cover?1) 157,401 miles2) 2.500 miles3) 0.2500 miles4) 0.0121 miles

Sagot :

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.

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