Answer:
19 miles per second
Explanation:
From the question, we're told that the earth takes 6 seconds to travel 114miles around the sun, we can go ahead and determine how fast the earth travels around the sun in miles per second as follows;
[tex]\begin{gathered} 114\text{ miles }\rightarrow\text{ 6 seconds} \\ x\text{ miles }\rightarrow\text{ 1 second} \\ x=\frac{114\ast1}{6} \\ x=19\text{ miles} \\ \end{gathered}[/tex]Therefore, the earth travels around the sun 19 miles per second.