2026 AMC 8 Problem 10
Below is the video solution and professionally curated solution for Problem 10 of the 2026 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2026 AMC 8 solutions, or check the answer key.
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Difficulty rating: 1040
10.
Five runners completed the grueling Xmarathon: Luke, Melina, Nico, Olympia, and Pedro.
• Nico finished minutes behind Pedro.
• Olympia finished minutes ahead of Melina, but minutes behind Pedro.
• Olympia finished minutes ahead of Luke.
Which runner finished fourth?
Luke
Melina
Nico
Olympia
Pedro
Video solution:
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Written solution:
Measure finish times in minutes after Pedro. Then Pedro is at , Olympia is at , Melina is at , Luke is at , and Nico is at . The fourth finisher is Luke.
Problem 10 in Other Years
1985 AMC 8 · 1986 AMC 8 · 1987 AMC 8 · 1988 AMC 8 · 1989 AMC 8 · 1990 AMC 8 · 1991 AMC 8 · 1992 AMC 8 · 1993 AMC 8 · 1994 AMC 8 · 1995 AMC 8 · 1996 AMC 8 · 1997 AMC 8 · 1998 AMC 8 · 1999 AMC 8 · 2000 AMC 8 · 2001 AMC 8 · 2002 AMC 8 · 2003 AMC 8 · 2004 AMC 8 · 2005 AMC 8 · 2006 AMC 8 · 2007 AMC 8 · 2008 AMC 8 · 2009 AMC 8 · 2010 AMC 8 · 2011 AMC 8 · 2012 AMC 8 · 2013 AMC 8 · 2014 AMC 8 · 2015 AMC 8 · 2016 AMC 8 · 2017 AMC 8 · 2018 AMC 8 · 2019 AMC 8 · 2020 AMC 8 · 2022 AMC 8 · 2023 AMC 8 · 2024 AMC 8 · 2025 AMC 8