SOLUTION: I am supposed to use the Ratio Method Please Help. Many tires come with 13/32 inch of tread on them. The first 2/32 inch wears off quickly (say during the first 1000 miles). Fro

Question 936383: I am supposed to use the Ratio Method Please Help.
Many tires come with 13/32 inch of tread on them. The first 2/32 inch wears off quickly (say during the first 1000 miles). From then on the tire wears uniformly and more slowly. A tire is considered �worn out� when only 2/32 inch of tread is left.

a. How many 32nds of an inch of useable tread does a tire have after 1000 miles?

b. A tire has traveled 20,000 miles and has 5/32 inch of tread remaining. At this rate, how many total miles should the tire last before it is considered worn out?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Many tires come with 13/32 inch of tread on them.
The first 2/32 inch wears off quickly (say during the first 1000 miles).
From then on the tire wears uniformly and more slowly.
A tire is considered �worn out� when only 2/32 inch of tread is left.
:
a. How many 32nds of an inch of useable tread does a tire have after 1000 miles?
The useable tread is after the first 2/32 up to the last 2/32, therefore
=
b. A tire has traveled 20,000 miles and has 5/32 inch of tread remaining.
At this rate, how many total miles should the tire last before it is considered worn out?
Let t = total miles, only 3/32 is useful miles
=
We know that 9/32 divided by 3/32 = 3, so a simple equation
= 3
t = 60,000 miles before it is worn out
RELATED QUESTIONS
I know I am suppose to use the method of Ratios but this is so confusing to me please... (answered by Theo)

1. A tire manufacturer wishes to investigate the tread life of its tires. A sample of 10... (answered by CPhill)

I own a 2006 Honda CRV. Last spring, I was still driving on the original tires. I looked... (answered by CharlesG2)

A new tire has a tread of about .34 inch. After 5000 miles the tread is about .31 inch.... (answered by richwmiller)

I am working on variations and I am having problems...please help The question is: I... (answered by Mathtut)

Tracy is trying to find a wrench to fit a bolt. The 3/8-inch wrench is too large, and the (answered by stanbon)

6. The distance a bicycle travels in one revolution of its tires is equal to the... (answered by rfer,richwmiller)

The Tires on Mrs. T's car have a 24 inch diameter. a. how far will the car go in one... (answered by ankor@dixie-net.com)