{"status": "success", "data": {"description_md": "A straight river that is $264$ meters wide flows from west to east at a rate of $14$ meters per minute. Melanie and Sherry sit on the south bank of the river with Melanie a distance of $D$ meters downstream from Sherry. Relative to the water, Melanie swims at $80$ meters per minute, and Sherry swims at $60$ meters per minute. At the same time, Melanie and Sherry begin swimming in straight lines to a point on the north bank of the river that is equidistant from their starting positions. The two women arrive at this point simultaneously. Find $D$.<br>Leading zeroes must be inputted, so if your answer is `34`, then input `034`\n\n___\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 straight river that is <span class=\"katex--inline\">264</span> meters wide flows from west to east at a rate of <span class=\"katex--inline\">14</span> meters per minute. Melanie and Sherry sit on the south bank of the river with Melanie a distance of <span class=\"katex--inline\">D</span> meters downstream from Sherry. Relative to the water, Melanie swims at <span class=\"katex--inline\">80</span> meters per minute, and Sherry swims at <span class=\"katex--inline\">60</span> meters per minute. At the same time, Melanie and Sherry begin swimming in straight lines to a point on the north bank of the river that is equidistant from their starting positions. The two women arrive at this point simultaneously. Find <span class=\"katex--inline\">D</span>.<br/>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code></p>&#10;<hr/>&#10;<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>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2022 AIME I Problem 5", "can_next": true, "can_prev": true, "nxt": "/problem/22_aime_I_p06", "prev": "/problem/22_aime_I_p04"}}