MathDB
Odometer Reading

Source:

January 19, 2006

Problem Statement

Before Ashley started a three-hour drive, her car’s odometer reading was 29792 29792, a palindrome. At her destination, the odometer reading was another palindrome. If Ashley never exceeded the speed limit of 75 75 miles per hour, which of the following was her greatest possible average speed? <spanclass=latexbold>(A)</span> 3313<spanclass=latexbold>(B)</span> 5313<spanclass=latexbold>(C)</span> 6023<spanclass=latexbold>(D)</span> 7013<spanclass=latexbold>(E)</span> 7413 <span class='latex-bold'>(A)</span>\ 33\frac 13 \qquad <span class='latex-bold'>(B)</span>\ 53\frac 13\qquad <span class='latex-bold'>(C)</span>\ 60\frac 23\qquad <span class='latex-bold'>(D)</span>\ 70\frac 13\qquad <span class='latex-bold'>(E)</span>\ 74\frac 13