Question

35 points !!!! need help asap

Bill bought a new truck and he replaced his factory tires with new after-market ones. His older factory tires have a circumference of 81.3 and his new after-market tires have a size of 235/65R18. Answer the following questions. _____________ According to Bill’s odometer, he traveled 10,000 miles on his new aftermarket tires. In reality, how far did Bill actually travel?

Answer 1

11602.7 miles

Explanation:

Given

Original tire circumference = 81.3 in

New tire label: 235/65R18

As per label we have: 235 mm - width (W), 65 mm- height to width ratio (H), 18 in- rim size (R)

The tyre circumference is derived from the formula:

• C = π × (R + 2 × H/100 × W)

Circumference of the new tire is:

• C = π × (18 × 25.4 mm + 2 × (65/100) x 235 mm) = 2 396.09 mm

• 2 396.09 mm / 25.4 = 94.33 in

The distance actally travelled:

• 94.33* 10000/81.3 = 11602.7 miles