The principal must decide whether to build a track with 6 lanes or 7 lanes. A 6 lane track will be 28.68 feet wide and a 7 lane track will be 28.98 feet wide if all lanes are of equal width in each track how much wider will lanes be in a 6 lane than a 7 lane track?

The principal must decide whether to build a track with 6 lanes or 7 lanes A 6 lane track will be 2868 feet wide and a 7 lane track will be 2898 feet wide if al class=

Respuesta :

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.