Correct answers only please! I only have two attempts on this assignment.

A person changed the size of the wheels on his motorcycle.

He changed the size from a tire that had a 25 inch diameter to a tire that has a 28 inch diameter. He didn’t realize this would affect his speedometer and odometer. He didn’t recalibrate either after changing the wheel size. How far did he really travel on the new tires, if his odometer shows he traveled 1000 miles?

A. 1,120 miles

B. 1,440 miles

C. 28,000 miles

D. 1,000 miles

Normally, the first thing to see here is the circumference of the tires. The circumference of the tire is the diameter * pi. Therefore, the circumference of the 25 inch diameter tire is 25pi, and 28pi for the other. However, in this case, this doesn't matter, as the ratio of 25pi : 28pi is the same as 25 : 28. Therefore, we can just work with the numbers 25 and 28.

Let's first calculate how many times his tire spun. If the odometer shows he traveled 1000 miles, this is how many times the tire spun based off of the tire with the circumference of 25 inches. To increase this, multiply 1000 by 28/25, as that is how much the wheels increased.

1000 * (28/25) = 1120

Therefore, your answer is 1,120 miles.

Hope this helps!