{"status": "success", "data": {"description_md": "Joe walks in a constant speed of $r$ meters per second along a $600\\;\\mathrm{m}$ long airport hallway alternating between $100\\;\\mathrm{m}$ long sections with conveyors and sections without conveyors, beginning with a section without conveyors. When walking on a conveyor, it boosts Joe\u2019s speed by $1\\;\\mathrm{m/s}$. If Joe runs and increases his own speed to $r+1$ meters per second, he saves $40$ seconds. Find $60r$.", "description_html": "<p>Joe walks in a constant speed of <span class=\"katex--inline\">r</span> meters per second along a <span class=\"katex--inline\">600\\;\\mathrm{m}</span> long airport hallway alternating between <span class=\"katex--inline\">100\\;\\mathrm{m}</span> long sections with conveyors and sections without conveyors, beginning with a section without conveyors. When walking on a conveyor, it boosts Joe&#8217;s speed by <span class=\"katex--inline\">1\\;\\mathrm{m/s}</span>. If Joe runs and increases his own speed to <span class=\"katex--inline\">r+1</span> meters per second, he saves <span class=\"katex--inline\">40</span> seconds. Find <span class=\"katex--inline\">60r</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "Holiday Contest 2025 - Guts Round - Set 5 Problem 3", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}