{"status": "success", "data": {"description_md": "A cart rolls down a hill, travelling $5$ inches the first second and accelerating so that during each successive $1$-second time interval, it travels $7$ inches more than during the previous $1$-second interval. The cart takes $30$ seconds to reach the bottom of the hill. How far, in inches, does it travel?\n\n$\\textbf{(A)} ~215 \\qquad\\textbf{(B)} ~360\\qquad\\textbf{(C)} ~2992\\qquad\\textbf{(D)} ~3195\\qquad\\textbf{(E)} ~3242$", "description_html": "<p>A cart rolls down a hill, travelling  <span class=\"katex--inline\">5</span>  inches the first second and accelerating so that during each successive  <span class=\"katex--inline\">1</span> -second time interval, it travels  <span class=\"katex--inline\">7</span>  inches more than during the previous  <span class=\"katex--inline\">1</span> -second interval. The cart takes  <span class=\"katex--inline\">30</span>  seconds to reach the bottom of the hill. How far, in inches, does it travel?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A)} ~215 \\qquad\\textbf{(B)} ~360\\qquad\\textbf{(C)} ~2992\\qquad\\textbf{(D)} ~3195\\qquad\\textbf{(E)} ~3242</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 4", "can_next": true, "can_prev": true, "nxt": "/problem/21_amc10A_p05", "prev": "/problem/21_amc10A_p03"}}