According to the information given in the exercise:
- A 6 lane track will have this width:
[tex]w_6=28.68ft[/tex]
- The 7 lane track will have this width;
[tex]w_7=28.98ft[/tex]
- All lanes have equal width in each track.
Then, to find the width of each lane in each track, you need to divide the total width of the track by 6:
• The width of each lane in a 6 lane track will be:
[tex]\frac{28.68ft}{6}=4.78ft[/tex]
• The width of each lane in a 7 lane track will be:
[tex]\frac{28.98ft}{7}=4.14ft[/tex]
In order to find how much wider the lanes in a 6 lane will be (than in a 7 lane track), you need to subtract the widths found before:
[tex]4.78ft-4.14ft=0.64ft[/tex]
Therefore, the answer is: Option B.