Answer:
[tex]5\frac{2}{3}[/tex] miles.
Step-by-step explanation:
Kevin recorded the distances he ran last week in the table attached to this question.
Now, the total number of miles he ran on Monday through Wednesday is the same as the total number of miles he ran on Thursday and Friday.
Hence, {x + (x + 9) + (x + 4)} = {2x + (4x - 2)}
⇒ 3x + 13 = 6x - 2
⇒ 9x = 15
⇒ [tex]x = \frac{15}{9} = \frac{5}{3}[/tex]
Therefore, he ran on Wednesday = x + 4 = [tex]\frac{5}{3} + 4 = \frac{17}{3} = 5\frac{2}{3}[/tex] miles. (Answer)
