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Lostsunrise [7]
3 years ago
15

When new, a standard tire has 10/32 inches of tread. When only 2/32 inches of tread remains, the tire needs to be replaced. If t

his occurs after 40,000 miles, what thickness of tire rubber is lost every 1,000 miles driven? Give your answer in fractions of an inch.
Mathematics
1 answer:
san4es73 [151]3 years ago
7 0

Answer:

\frac{1}{160} \ inches

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 = \frac{10}{23}

In case of replaced = \frac{2}{3}

Based on the above information

Now in 40,000 miles, the ratio is

= \frac{10 - 2}{32} \\\\ = \frac{1}{4}

And for every 1,000 miles driven,  the thickness is

= \frac{1}{4 \times 40,000} \times 1,000 \\\\ = \frac{1}{160} \ inches

hence, the thickness of tire rubber is \frac{1}{160} \ inches

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