{"status": "success", "data": {"description_md": "Josh and Mike live $13$ miles apart. Yesterday Josh started to ride his bicycle toward Mike's house. A little later Mike started to ride his bicycle toward Josh's house. When they met, Josh had ridden for twice the length of time as Mike and at four-fifths of Mike's rate. How many miles had Mike ridden when they met? \n\n$\\mathrm{(A) \\ } 4\\qquad \\mathrm{(B) \\ } 5\\qquad \\mathrm{(C) \\ } 6\\qquad \\mathrm{(D) \\ } 7\\qquad \\mathrm{(E) \\ } 8$", "description_html": "<p>Josh and Mike live  <span class=\"katex--inline\">13</span>  miles apart. Yesterday Josh started to ride his bicycle toward Mike&#8217;s house. A little later Mike started to ride his bicycle toward Josh&#8217;s house. When they met, Josh had ridden for twice the length of time as Mike and at four-fifths of Mike&#8217;s rate. How many miles had Mike ridden when they met?</p>\n<p> <span class=\"katex--inline\">\\mathrm{(A) \\ } 4\\qquad \\mathrm{(B) \\ } 5\\qquad \\mathrm{(C) \\ } 6\\qquad \\mathrm{(D) \\ } 7\\qquad \\mathrm{(E) \\ } 8</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": "2005 AMC 10A Problem 7", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc10A_p08", "prev": "/problem/05_amc10A_p06"}}