Dailyn
08.09.2020 •
Mathematics
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?
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Ответ:
11602.7 miles
Step-by-step 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 inThe distance actally travelled:
94.33* 10000/81.3 = 11602.7 milesОтвет: