{"status": "success", "data": {"description_md": "Michael walks at the rate of $5$ feet per second on a long straight path. Trash pails are located every $200$ feet along the path. A garbage truck travels at $10$ feet per second in the same direction as Michael and stops for $30$ seconds at each pail. As Michael passes a pail, he notices the truck ahead of him just leaving the next pail. How many times will Michael and the truck meet? \n\n$\\mathrm{(A)}\\ 4\\qquad\\mathrm{(B)}\\ 5\\qquad\\mathrm{(C)}\\ 6\\qquad\\mathrm{(D)}\\ 7\\qquad\\mathrm{(E)}\\ 8$", "description_html": "<p>Michael walks at the rate of  <span class=\"katex--inline\">5</span>  feet per second on a long straight path. Trash pails are located every  <span class=\"katex--inline\">200</span>  feet along the path. A garbage truck travels at  <span class=\"katex--inline\">10</span>  feet per second in the same direction as Michael and stops for  <span class=\"katex--inline\">30</span>  seconds at each pail. As Michael passes a pail, he notices the truck ahead of him just leaving the next pail. How many times will Michael and the truck meet?</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": 4, "problem_name": "2008 AMC 10B Problem 25", "can_next": false, "can_prev": true, "nxt": "", "prev": "/problem/08_amc10B_p24"}}