{"status": "success", "data": {"description_md": "Chantal and Jean start hiking from a trailhead toward a fire tower. Jean is wearing a heavy backpack and walks slower. Chantal starts walking at $4$ miles per hour. Halfway to the tower, the trail becomes really steep, and Chantal slows down to $2$ miles per hour. After reaching the tower, she immediately turns around and descends the steep part of the trail at $3$ miles per hour. She meets Jean at the halfway point. What was Jean's average speed, in miles per hour, until they meet?\n\n$\\textbf{(A)} ~\\frac{12}{13} \\qquad\\textbf{(B)} ~1 \\qquad\\textbf{(C)} ~\\frac{13}{12} \\qquad\\textbf{(D)} \n ~\\frac{24}{13} \\qquad\\textbf{(E)} ~2$", "description_html": "<p>Chantal and Jean start hiking from a trailhead toward a fire tower. Jean is wearing a heavy backpack and walks slower. Chantal starts walking at  <span class=\"katex--inline\">4</span>  miles per hour. Halfway to the tower, the trail becomes really steep, and Chantal slows down to  <span class=\"katex--inline\">2</span>  miles per hour. After reaching the tower, she immediately turns around and descends the steep part of the trail at  <span class=\"katex--inline\">3</span>  miles per hour. She meets Jean at the halfway point. What was Jean&#8217;s average speed, in miles per hour, until they meet?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)} ~\\frac{12}{13} \\qquad\\textbf{(B)} ~1 \\qquad\\textbf{(C)} ~\\frac{13}{12} \\qquad\\textbf{(D)} \n ~\\frac{24}{13} \\qquad\\textbf{(E)} ~2</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": "2021 AMC 10A Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/21_amc10A_p07", "prev": "/problem/21_amc10A_p05"}}