Question 22
The angle between the hour-hand and the minute-hand of a clock is denoted by $\theta^\circ$ where $0\le\theta\le180$. If the clock now shows $3:y$ (that is, $3$ o’clock and $y$ minutes) and $\theta=175$, find the value of $y$, where $y$ is an integer and $0\le y\lt 60$.