Answer:
[tex]\frac{1}{160} \ inches[/tex]
Step-by-step explanation:
The computation of the thickness of tire rubber for every lost 1,000 driven is shown below:
Data provided in the question
Inches of tread = [tex]\frac{10}{23}[/tex]
In case of replaced = [tex]\frac{2}{3}[/tex]
Based on the above information
Now in 40,000 miles, the ratio is
[tex]= \frac{10 - 2}{32} \\\\ = \frac{1}{4}[/tex]
And for every 1,000 miles driven, the thickness is
[tex]= \frac{1}{4 \times 40,000} \times 1,000 \\\\ = \frac{1}{160} \ inches[/tex]
hence, the thickness of tire rubber is [tex]\frac{1}{160} \ inches[/tex]
