{"status": "success", "data": {"description_md": "Eric plans to compete in a triathlon. He can average $2$ miles per hour in the $\\frac{1}{4}$-mile swim and $6$ miles per hour in the $3$-mile run. His goal is to finish the triathlon in $2$ hours. To accomplish his goal what must his average speed in miles per hour, be for the $15$-mile bicycle ride?\n\n$\\mathrm{(A)}\\ \\frac{120}{11}\n\\qquad\n\\mathrm{(B)}\\ 11\n\\qquad\n\\mathrm{(C)}\\ \\frac{56}{5}\n\\qquad\n\\mathrm{(D)}\\ \\frac{45}{4}\n\\qquad\n\\mathrm{(E)}\\ 12$", "description_html": "<p>Eric plans to compete in a triathlon. He can average  <span class=\"katex--inline\">2</span>  miles per hour in the  <span class=\"katex--inline\">\\frac{1}{4}</span> -mile swim and  <span class=\"katex--inline\">6</span>  miles per hour in the  <span class=\"katex--inline\">3</span> -mile run. His goal is to finish the triathlon in  <span class=\"katex--inline\">2</span>  hours. To accomplish his goal what must his average speed in miles per hour, be for the  <span class=\"katex--inline\">15</span> -mile bicycle ride?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ \\frac{120}{11}\n\\qquad\n\\mathrm{(B)}\\ 11\n\\qquad\n\\mathrm{(C)}\\ \\frac{56}{5}\n\\qquad\n\\mathrm{(D)}\\ \\frac{45}{4}\n\\qquad\n\\mathrm{(E)}\\ 12</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": 1, "problem_name": "2009 AMC 10A Problem 4", "can_next": true, "can_prev": true, "nxt": "/problem/09_amc10A_p05", "prev": "/problem/09_amc10A_p03"}}