{"status": "success", "data": {"description_md": "Paula the painter and her two helpers each paint at constant, but different, rates. They always start at $8:00$ AM, and all three always take the same amount of time to eat lunch. On Monday the three of them painted 50% of a house, quitting at $4:00$ PM. On Tuesday, when Paula wasn't there, the two helpers painted only 24% of the house and quit at $2:12$ PM. On Wednesday Paula worked by herself and finished the house by working until $7:12$ P.M. How long, in minutes, was each day's lunch break?\n\n$\\textbf{(A)}\\ 30\\qquad\\textbf{(B)}\\ 36\\qquad\\textbf{(C)}\\ 42\\qquad\\textbf{(D)}\\ 48\\qquad\\textbf{(E)}\\ 60$", "description_html": "<p>Paula the painter and her two helpers each paint at constant, but different, rates. They always start at  <span class=\"katex--inline\">8:00</span>  AM, and all three always take the same amount of time to eat lunch. On Monday the three of them painted 50% of a house, quitting at  <span class=\"katex--inline\">4:00</span>  PM. On Tuesday, when Paula wasn&#8217;t there, the two helpers painted only 24% of the house and quit at  <span class=\"katex--inline\">2:12</span>  PM. On Wednesday Paula worked by herself and finished the house by working until  <span class=\"katex--inline\">7:12</span>  P.M. How long, in minutes, was each day&#8217;s lunch break?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 30\\qquad\\textbf{(B)}\\ 36\\qquad\\textbf{(C)}\\ 42\\qquad\\textbf{(D)}\\ 48\\qquad\\textbf{(E)}\\ 60</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": "2012 AMC 10A Problem 19", "can_next": true, "can_prev": true, "nxt": "/problem/12_amc10A_p20", "prev": "/problem/12_amc10A_p18"}}