{"status": "success", "data": {"description_md": "A power boat and a raft both left dock $A$ on a river and headed downstream. The raft drifted at the speed of the river current. The power boat maintained a constant speed with respect to the river. The power boat reached dock $B$ downriver, then immediately turned and traveled back upriver. It eventually met the raft on the river 9 hours after leaving dock $A.$ How many hours did it take the power boat to go from $A$ to $B?$\n\n$\\textbf{(A)}\\ 3 \\qquad<br>\\textbf{(B)}\\ 3.5 \\qquad<br>\\textbf{(C)}\\  4 \\qquad<br>\\textbf{(D)}\\ 4.5 \\qquad<br>\\textbf{(E)}\\ 5$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>A power boat and a raft both left dock  <span class=\"katex--inline\">A</span>  on a river and headed downstream. The raft drifted at the speed of the river current. The power boat maintained a constant speed with respect to the river. The power boat reached dock  <span class=\"katex--inline\">B</span>  downriver, then immediately turned and traveled back upriver. It eventually met the raft on the river 9 hours after leaving dock  <span class=\"katex--inline\">A.</span>  How many hours did it take the power boat to go from  <span class=\"katex--inline\">A</span>  to  <span class=\"katex--inline\">B?</span> </p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 3 \\qquad\\textbf{(B)}\\ 3.5 \\qquad\\textbf{(C)}\\  4 \\qquad\\textbf{(D)}\\ 4.5 \\qquad\\textbf{(E)}\\ 5</span> </p>&#10;<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": "2011 AMC 12A Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/11_amc12A_p13", "prev": "/problem/11_amc12A_p11"}}