AMC 8 2018 Problem 12

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? $\textbf{ (A) }5:50 \textbf{(B) }6:00 \textbf{(C) }6:30 \textbf{(D) }6:55 \textbf{(E) }8:10$