Improved User Experiencee
A responsive website leads to a better user experience. A major factor indicating the quality of user experience is the time they spend on your site. If they find it hard to navigate or use because they're forced to constantly pinch and zoom, they won’t stay on your website.
Faster Website Development
Not so long ago, a common practice involved making a separate mobile version of your site that was served when a smaller screen size was detected. However, developing a mobile version of your site takes up more time than developing a responsive website that looks great and works as intended no matter which device your visitors are using.
Better Website Loading Times
According to research, 53% of mobile visitors will abandon a site if pages take longer than three seconds to load. The same research shows that websites that load fast benefit from more time spent on site as well as improved conversion rates.
Another one of the advantages of responsive web design is improved search engine rank. As of April 2015, Google takes into consideration the responsiveness of your website as one of the signals that determine the rank of your website in the search engine results page.