{"status": "success", "data": {"description_md": "Odell and Kershaw run for $30$ minutes on a circular track. Odell runs clockwise at $250$ m/min and uses the inner lane with a radius of $50$ meters. Kershaw runs counterclockwise at $300$ m/min and uses the outer lane with a radius of $60$ meters, starting on the same radial line as Odell. How many times after the start do they pass each other? \n\n$\\mathrm{(A)}\\ 29\\qquad\\mathrm{(B)}\\ 42\\qquad\\mathrm{(C)}\\ 45\\qquad\\mathrm{(D)}\\ 47\\qquad\\mathrm{(E)}\\ 50$", "description_html": "<p>Odell and Kershaw run for <span class=\"katex--inline\">30</span> minutes on a circular track. Odell runs clockwise at <span class=\"katex--inline\">250</span> m/min and uses the inner lane with a radius of <span class=\"katex--inline\">50</span> meters. Kershaw runs counterclockwise at <span class=\"katex--inline\">300</span> m/min and uses the outer lane with a radius of <span class=\"katex--inline\">60</span> meters, starting on the same radial line as Odell. How many times after the start do they pass each other?</p>&#10;<p><span class=\"katex--inline\">\\mathrm{(A)}\\ 29\\qquad\\mathrm{(B)}\\ 42\\qquad\\mathrm{(C)}\\ 45\\qquad\\mathrm{(D)}\\ 47\\qquad\\mathrm{(E)}\\ 50</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2006 AMC 10A Problem 15", "can_next": true, "can_prev": true, "nxt": "/problem/06_amc10A_p16", "prev": "/problem/06_amc10A_p14"}}