MathDB
Sri's Clock

Source: 2018 AMC 8 #12

November 20, 2018
AMC 82018 AMC 8

Problem Statement

The clock in Sri's car, which is not accurate, gains time at a constant rate. One day as he begins shopping he notes that his car clock and his watch (which is accurate) both say 12:00 noon. When he is done shopping, his watch says 12:30 and his car clock says 12:35. Later that day, Sri loses his watch. He looks at his car clock and it says 7:00. What is the actual time?
<spanclass=latexbold>(A)</span>5:50<spanclass=latexbold>(B)</span>6:00<spanclass=latexbold>(C)</span>6:30<spanclass=latexbold>(D)</span>6:55<spanclass=latexbold>(E)</span>8:10<span class='latex-bold'>(A) </span>5:50\qquad<span class='latex-bold'>(B) </span>6:00\qquad<span class='latex-bold'>(C) </span>6:30\qquad<span class='latex-bold'>(D) </span>6:55\qquad <span class='latex-bold'>(E) </span>8:10