Question

Consider a tire with a radius of 9 inches that is rolled 150 revolutions and travels approximately 8,482 inches. suppose another tire is rolled 150 revolutions and travels approximately 5,654 inches. what is the radius of this tire? round to the nearest whole number

Answer 1

The tires are similar in shape. This means that if they undergo the same number of revolutions, the ratio of the distances covered would be equal to the ratio of the radius of each tire.

From the information given,

radius of tire 1 = 9

distance covered by tire 1 = 8482

let radius of tire 2 = r

distance covered by tire 2 = 5654

Thus,

8482/5654 = 9/r

By crossmultiplying, we have

r * 8482 = 5654 * 9

8482r = 50886

r = 50886/8482

r = 5.9993

By rounding to the nearest whole number,

radius of second tire = 6 inches