2006 AMC 8 Problem 15
Attempt Problem 15 of the 2006 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 2006 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
15.
Chandra and Bob, who each have a copy of the book, decide that they can save time by “team reading” the novel. In this scheme, Chandra will read from page to a certain page and Bob will read from the next page through page finishing the book. When they are through they will tell each other about the part they read. What is the last page that Chandra should read so that she and Bob spend the same amount of time reading the novel?
Answer: C
Small hint:
Let be the number of pages Chandra reads.
Big hint:
Set Chandra’s time for pages equal to Bob’s time for the remaining pages.
Solution:
Let be the number of pages that Chandra will read. Then Bob will read pages.
For them to read for the same amount of time,
Thus, C is the correct answer.
Problem 15 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
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- 1998 AMC 8
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