2011 AMC 8 Problem 10
Attempt Problem 10 of the 2011 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2011 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
10.
The taxi fare in Gotham City is for the first mile and additional mileage charged at the rate for each additional mile. You plan to give the driver a tip. How many miles can you ride for ?
Small hint:
The remaining fare buys extra distance at cents per tenth of a mile.
Big hint:
Set aside the tip and the first half-mile fare first.
Solution:
There is a guaranteed tip, so we can subtract that from the total, leaving This is greater than so we can subtract that and add miles to the total distance.
We now have to use for additional miles. per mile is the same as for mile. That means one can ride for more miles with this much money. This leaves a total of miles.
Thus, C is the correct answer.
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
- 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
- 2026 AMC 8