{"status": "success", "data": {"description_md": "Jack and Jill exercise along the same route. Jill jogs the first half of the route at 6 km/h, runs the remainder of the route at 12 km/h and takes a total time of $x$ hours. Jack walks the first third of the route at 5 km/h, runs the remainder at 15 km/h and takes a total time of $y$ hours. Which of the following is equal to $\\dfrac{x}{y}$?\n\n$\\text{(A)}\\ \\dfrac{9}{8}\\qquad\\text{(B)}\\ \\dfrac{7}{5}\\qquad\\text{(C)}\\ \\dfrac{15}{16}\\qquad\\text{(D)}\\ \\dfrac{9}{16}\\qquad\\text{(E)}\\ \\dfrac{10}{9}$\n\n___\n\n**[Cayley](https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf), by [CEMC](https://cemc.uwaterloo.ca/), is licensed under the [CC BY-NC 3.0 DEED](https://creativecommons.org/licenses/by-nc/3.0/). They are not affiliated with or endorse TopsOJ in any way.**\n", "description_html": "<p>Jack and Jill exercise along the same route. Jill jogs the first half of the route at 6 km/h, runs the remainder of the route at 12 km/h and takes a total time of <span class=\"katex--inline\">x</span> hours. Jack walks the first third of the route at 5 km/h, runs the remainder at 15 km/h and takes a total time of <span class=\"katex--inline\">y</span> hours. Which of the following is equal to <span class=\"katex--inline\">\\dfrac{x}{y}</span>?</p>\n<p><span class=\"katex--inline\">\\text{(A)}\\ \\dfrac{9}{8}\\qquad\\text{(B)}\\ \\dfrac{7}{5}\\qquad\\text{(C)}\\ \\dfrac{15}{16}\\qquad\\text{(D)}\\ \\dfrac{9}{16}\\qquad\\text{(E)}\\ \\dfrac{10}{9}</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Cayley</a>, by <a href=\"https://cemc.uwaterloo.ca/\">CEMC</a>, is licensed under the <a href=\"https://creativecommons.org/licenses/by-nc/3.0/\">CC BY-NC 3.0 DEED</a>. They are not affiliated with or endorse TopsOJ in any way.</strong></p>\n", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2013 Cayley Problem 20", "can_next": true, "can_prev": true, "nxt": "/problem/13_cayley_p21", "prev": "/problem/13_cayley_p19"}}