{"status": "success", "data": {"description_md": "Billy and Cindy want to meet at their favorite restaurant, and they have made plans to do so sometime between 1:00 and 2:00 this Sunday. Unfortunately, they didn\u2019t decide on an exact time, so they both decide to arrive at a random time between 1:00 and 2:00. Silly Billy is impatient, though, and if he has to wait for Cindy, he will leave after $15$ minutes. Cindy, on the other hand, will happily wait for Billy from whenever she arrives until 2:00. If the probability that Billy and Cindy will be able to dine together can be expressed as $\\frac{a}{b}$ where $a$ and $b$ are relatively prime, positive integers, compute $a+b$.", "description_html": "<p>Billy and Cindy want to meet at their favorite restaurant, and they have made plans to do so sometime between 1:00 and 2:00 this Sunday. Unfortunately, they didn&#8217;t decide on an exact time, so they both decide to arrive at a random time between 1:00 and 2:00. Silly Billy is impatient, though, and if he has to wait for Cindy, he will leave after <span class=\"katex--inline\">15</span> minutes. Cindy, on the other hand, will happily wait for Billy from whenever she arrives until 2:00. If the probability that Billy and Cindy will be able to dine together can be expressed as <span class=\"katex--inline\">\\frac{a}{b}</span> where <span class=\"katex--inline\">a</span> and <span class=\"katex--inline\">b</span> are relatively prime, positive integers, compute <span class=\"katex--inline\">a+b</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Problem of the Day #280", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}