{"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 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?</p>\n<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>\n<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "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"}}