1956 AHSME Problems/Problem 45
Revision as of 12:15, 27 March 2021 by Angrybird029 (talk | contribs) (Created page with "A wheel with a rubber tire has an outside diameter of <math>25</math> in. When the radius has been decreased a quarter of an inch, the number of revolutions in one mile will:...")
A wheel with a rubber tire has an outside diameter of in. When the radius has been decreased a quarter of an inch, the number of revolutions in one mile will:
Solution
The circumference of the normal tire is inches, while the shaved tire has a circumference of inches. Thus, the ratio of the number of rotations the two tires take to go a mile can be expressed as Simplifying the ratio, we get
The increase in rotations can be expressed as . This leads to an increase of
See Also
Go back to the rest of the 1956 AHSME Problems.
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.